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  • Bernhard Riemann/Definition
    ...[[differential geometry]], [[theory of functions|function theory]], and [[number theory]].
    171 bytes (18 words) - 10:52, 31 May 2009
  • Class field theory
    In [[algebraic number theory]], '''class field theory''' studies the abelian extensions of an [[algebrai
    191 bytes (26 words) - 17:20, 10 January 2013
  • Discrete mathematics/Definition
    ...thin mathematics that study discrete objects: combinatorics, graph theory, number theory, mathematical logic, …
    167 bytes (18 words) - 09:28, 18 June 2009
  • Algebraic number field/Related Articles
    {{r|Modulus (algebraic number theory)}} {{r|Number theory}}
    843 bytes (113 words) - 10:49, 11 January 2010
  • Riemann zeta function/Definition
    ...matical function]] of a [[complex number|complex]] variable important in [[number theory]] for its connection with the distribution of [[prime number]]s.
    219 bytes (27 words) - 16:59, 13 November 2008
  • Dirichlet character/Bibliography
    * {{cite book | author=Tom M. Apostol | title=Introduction to Analytic Number Theory | series=Undergraduate Texts in Mathematics | year=1976 | publisher=[[Sprin ...thor=Harold Davenport | authorlink=Harold Davenport | title=Multiplicative number theory | series=Lectures in advanced mathematics | number=1 | publisher=Markham |
    796 bytes (90 words) - 16:47, 27 January 2023
  • Algebraic number/Advanced
    In [[number theory]], an '''algebraic number''' is an element of a finite [[extension field]] ...ued forms the foundation of modern [[algebraic number theory]]. Algebraic number theory is now an immense field, and one of current research, but so far has found
    1 KB (179 words) - 14:14, 10 December 2008
  • Number Theory Foundation
    ...tes of America]] which supports research and conferences in the field of [[number theory]].
    312 bytes (43 words) - 14:07, 2 February 2023
  • Conductor of a number field
    ...nsion|extension]] of [[algebraic number field]]s is a [[modulus (algebraic number theory)|modulus]] which determines the splitting of [[prime ideal]]s. If no exten For a general extension ''F''/''K'', the conductor is a [[modulus (algebraic number theory)|modulus]] of ''K''.
    1 KB (177 words) - 01:07, 18 February 2009
  • Number Theory
    #Redirect [[Number theory]]
    27 bytes (3 words) - 07:04, 30 May 2008
  • Discriminant of an algebraic number field/Bibliography
    ...öhlich | authorlink=Ali Fröhlich | coauthors=M.J. Taylor | title=Algebraic number theory | series=Cambridge studies in advanced mathematics | volume=27 | publisher= ...Ireland | coauthors=M. Rosen | title = A Classical Introduction to Modern Number Theory | publisher = Springer-Verlag | date = 1993 | location = New York, New Yo
    1 KB (153 words) - 14:18, 16 January 2013
  • Different ideal/Bibliography
    * {{Citation | last=Weiss | first=Edwin | title=Algebraic number theory | publisher=Chelsea Publishing | year=1976 | isbn=0-8284-0293-0}}. ...2=Taylor | first2=Martin | authorlink2= Martin J. Taylor | title=Algebraic number theory | publisher=[[Cambridge University Press]] | series=Cambridge Studies in Ad
    470 bytes (55 words) - 09:40, 12 June 2009
  • Natural number/Related Articles
    {{r|Number theory}}
    291 bytes (36 words) - 08:06, 19 August 2009
  • Ray class group
    #REDIRECT [[Modulus (algebraic number theory)#Ray class group]]
    63 bytes (8 words) - 06:18, 6 December 2008
  • Combinatorics/Related Articles
    {{r|Number theory}}
    610 bytes (72 words) - 10:57, 18 June 2009
  • Discrete mathematics/Related Articles
    {{r|Number theory}}
    245 bytes (29 words) - 09:38, 18 June 2009
  • Transcendental number/Bibliography
    ...ite book | author=Alan Baker| authorlink=Alan Baker | title=Transcendental Number Theory | publisher=[[Cambridge University Press]] | year=1975 | isbn=0-521-20461-5 ...William J. LeVeque | authorlink = William J. LeVeque | title = Topics in Number Theory, Volumes I and II | publisher = Dover Publications | location = New York |
    452 bytes (56 words) - 12:09, 1 January 2013
  • Partition (mathematics)
    ...], '''partition''' refers to two related concepts, in [[set theory]] and [[number theory]]. ==Partition (number theory)==
    2 KB (336 words) - 07:17, 16 January 2009
  • Abstract algebra/Related Articles
    {{r|Number theory}}
    654 bytes (81 words) - 13:36, 29 November 2008
  • Number theory/Related Articles
    Auto-populated based on [[Special:WhatLinksHere/Number theory]]. Needs checking by a human. {{r|Number Theory Foundation}}
    2 KB (262 words) - 19:07, 11 January 2010
  • Riemann
    *[[Riemann zeta function]] Mathematical function important in [[number theory]]
    310 bytes (33 words) - 07:04, 7 February 2009
  • Class field theory/Definition
    <noinclude>{{Subpages}}</noinclude>The branch of algebraic number theory which studies the abelian extensions of a number field, or more generally a
    171 bytes (26 words) - 17:18, 10 January 2013
  • KANT/Definition
    A computer algebra system for mathematicians interested in algebraic number theory.
    119 bytes (14 words) - 15:20, 28 October 2008
  • Conductor of a number field/Definition
    Used in algebraic number theory; a modulus which determines the splitting of prime ideals.
    126 bytes (17 words) - 01:06, 18 February 2009
  • Algebraic number/Related Articles
    {{r|Algebraic number theory}}
    887 bytes (126 words) - 02:29, 22 December 2008
  • Algebraic number/Bibliography
    ...authorlink=Peter Borwein | title=Computational Excursions in Analysis and Number Theory | series=CMS Books in Mathematics | publisher=[[Springer-Verlag]] | year=20 ...öhlich | authorlink=Ali Fröhlich | coauthors=M.J. Taylor | title=Algebraic number theory | series=Cambridge studies in advanced mathematics | volume=27 | publisher=
    2 KB (209 words) - 02:28, 22 December 2008
  • Conductor of a number field/Bibliography
    ...S. Cassels | coauthors=[[Albrecht Fröhlich|A. Fröhlich]] | title=Algebraic Number Theory | publisher=[[Academic Press]] | year=1967 | isbn=012268950X }} * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebraic number theory | publisher=[[Springer-Verlag]] | isbn=0-387-94225-4 | year=1986 }}
    865 bytes (110 words) - 02:29, 10 January 2013
  • Class field theory/Bibliography
    ...S. Cassels | coauthors=[[Albrecht Fröhlich|A. Fröhlich]] | title=Algebraic Number Theory | publisher=[[Academic Press]] | year=1967 | isbn=012268950X }} * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebraic number theory | publisher=[[Springer-Verlag]] | isbn=0-387-94225-4 | year=1986 }}
    865 bytes (110 words) - 17:22, 10 January 2013
  • Modular form/Definition
    ...in [[complex analysis]], with connections to [[algebraic geometry]] and [[number theory]]
    151 bytes (19 words) - 18:29, 15 December 2010
  • KANT
    ...iated command line interface. They have been developed by the Algebra and Number Theory research group of the Institute of Mathematics at [[Technische Universität ...tool for computations in algebraic number fields | booktitle=Computational number theory | publisher=de Gruyter | year=1991 | isbn=3-11-012394-0 | pages=321-330 }}
    1 KB (152 words) - 08:31, 14 September 2013
  • Number Theory Foundation/Related Articles
    Auto-populated based on [[Special:WhatLinksHere/Number Theory Foundation]]. Needs checking by a human. {{r|Number theory}}
    443 bytes (57 words) - 19:07, 11 January 2010
  • Riemann zeta function/Bibliography
    ...Charles Vaughan (mathematician)|Robert C. Vaughan]] | title=Multiplicative number theory I. Classical theory | series=Cambridge tracts in advanced mathematics | vol ...k | authorlink=Donald J. Newman | author=Donald J. Newman | title=Analytic number theory | series=[[Graduate Texts in Mathematics|GTM]] | volume=177 | publisher=[[S
    1 KB (178 words) - 02:38, 10 November 2008
  • Dirichlet series/Bibliography
    * {{cite book | author=Tom M. Apostol | title=Introduction to Analytic Number Theory | series=Undergraduate Texts in Mathematics | year=1976 | publisher=[[Sprin ...| author=Tom M. Apostol | title=Modular functions and Dirichlet Series in Number Theory | edition=2nd ed | series=[[Graduate Texts in Mathematics]] | volume=41 |
    696 bytes (86 words) - 02:18, 4 December 2008
  • Erdős–Fuchs theorem
    In [[mathematics]], in the area of [[combinatorial number theory]], the '''Erdős–Fuchs theorem''' is a statement about the number of ways * {{cite journal | title=On a Problem of Additive Number Theory | author=P. Erdős | authorlink=Paul Erdős | coauthors=W.H.J. Fuchs | jour
    1 KB (199 words) - 10:50, 18 June 2009
  • Arithmetic function/Definition
    ...ositive integers, usually with integer, real or complex values, studied in number theory.
    159 bytes (23 words) - 15:51, 2 December 2008
  • Modulus (disambiguation)
    {{r|Modulus (algebraic number theory)}}
    205 bytes (29 words) - 15:13, 10 January 2024
  • Dedekind zeta function/Related Articles
    {{r|Algebraic number theory}}
    297 bytes (38 words) - 11:43, 15 June 2009
  • Dedekind domain/Bibliography
    | title = Algebraic Number Theory
    240 bytes (22 words) - 07:44, 21 September 2008
  • Partition (mathematics)/Related Articles
    {{r|Number theory}} {{r|Partition function (number theory)}}
    633 bytes (79 words) - 19:23, 11 January 2010
  • Group theory/Related Articles
    {{r|Number theory}}
    1 KB (180 words) - 17:00, 11 January 2010
  • Perfect number/Advanced
    ...very even perfect number must have this form can be given using elementary number theory. The main prerequisite results from elementary number theory, besides a general familiarity with divisibility, are the following:
    2 KB (397 words) - 12:24, 14 May 2008
  • Algebra/Related Articles
    {{r|Number theory}}
    2 KB (247 words) - 06:00, 7 November 2010
  • Minimal polynomial/Bibliography
    ...e book | author=Pierre Samuel | authorlink=Pierre Samuel | title=Algebraic number theory | publisher=Hermann/Kershaw | year=1972 }}
    151 bytes (17 words) - 02:37, 4 January 2013
  • Partition function (number theory)
    In [[number theory]] the '''partition function''' ''p''(''n'') counts the number of [[partitio
    483 bytes (70 words) - 16:32, 13 December 2008
  • Number Theory Foundation/Definition
    ...the United States which supports research and conferences in the field of number theory.
    159 bytes (22 words) - 15:29, 27 October 2008
  • Algebraic number field/Definition
    ...ational numbers of finite degree; a principal object of study in algebraic number theory.
    151 bytes (22 words) - 03:01, 1 January 2009
  • History of number theory/Definition
    The origins and subsequent developments of number theory, which is sometimes distinguished from arithmetic involving elementary calc
    233 bytes (28 words) - 12:48, 11 October 2011
  • Cameron–Erdős conjecture/Bibliography
    ...d P. Erdős, ''On the number of sets of integers with various properties'', Number theory (Banff, 1988), de Gruyter, Berlin 1990, pp. 61–79.
    470 bytes (66 words) - 11:48, 18 June 2009
  • Serge Lang/Definition
    ...2 September 2005) French-born American mathematician known for his work in number theory and for his mathematics textbooks, including the influential ''Algebra''.
    217 bytes (24 words) - 09:17, 4 September 2009
  • Dirichlet character/Related Articles
    {{r|Number theory}}
    321 bytes (41 words) - 05:50, 15 June 2009
  • Average order of an arithmetic function
    In [[mathematics]], in the field of [[number theory]], the '''average order of an arithmetic function''' is some simpler or bet * {{cite book | title=Introduction to Analytic and Probabilistic Number Theory | author=Gérald Tenenbaum | series=Cambridge studies in advanced mathemati
    2 KB (254 words) - 08:27, 19 December 2011
  • Partition function (disambiguation)
    {{r|Partition function (number theory)}}
    101 bytes (11 words) - 11:06, 31 May 2009
  • Perfect number/Bibliography
    ...thor=Richard K. Guy|authorlink=Richard K. Guy|title=[[Unsolved Problems in Number Theory]]|publisher=[[Springer-Verlag]]|date=2004|isbn=0-387-20860-7}}
    180 bytes (24 words) - 16:04, 2 December 2008
  • Asymmetric key cryptography/Related Articles
    {{r|Number theory}}
    398 bytes (43 words) - 20:00, 29 July 2010
  • Normal order of an arithmetic function/Bibliography
    * {{cite book | title=Introduction to Analytic and Probabilistic Number Theory | author=Gérald Tenenbaum | series=Cambridge studies in advanced mathemati
    491 bytes (65 words) - 02:24, 3 December 2008
  • Fermat's last theorem/Related Articles
    {{r|Number theory}}
    454 bytes (55 words) - 03:14, 21 October 2010
  • Diophantine equation
    ...ath>. Their study forms a part of the branch of [[mathematics]] known as [[number theory]].
    542 bytes (82 words) - 19:39, 7 April 2009
  • ABC conjecture/Bibliography
    ...es and the abc-conjecture | editor=Wüstholz, Gisbert | title=A panorama in number theory or The view from Baker's garden. | location=Cambridge | publisher=Cambridge ...$abc$-conjecture | pages=37-44 | editor=Győry, Kálmán (ed.) et al. | title=Number theory. Diophantine, computational and algebraic aspects. Proceedings of the inter
    1,015 bytes (131 words) - 13:22, 13 January 2013
  • Arithmetic function
    In [[number theory]], an '''arithmetic function''' is a function defined on the set of [[posit ...or multiplicative structure of the integers are of particular interest in number theory.
    1 KB (159 words) - 06:03, 15 June 2009
  • Arithmetic function/Bibliography
    * {{cite book | author=Tom M. Apostol | title=Introduction to Analytic Number Theory | series=Undergraduate Texts in Mathematics | year=1976 | publisher=[[Sprin
    831 bytes (112 words) - 02:21, 3 December 2008
  • Wiener-Ikehara theorem/Definition
    A Tauberian theorem used in number theory to relate the behaviour of a real sequence to the analytic properties of th
    183 bytes (27 words) - 16:51, 6 December 2008
  • Goldbach's conjecture/Related Articles
    Some other solved/unsolved problems in number theory:
    243 bytes (27 words) - 19:07, 25 April 2008
  • Normal order of an arithmetic function
    In [[mathematics]], in the field of [[number theory]], the '''normal order of an arithmetic function''' is some simpler or bett * {{cite book | title=Introduction to Analytic and Probabilistic Number Theory | author=Gérald Tenenbaum | series=Cambridge studies in advanced mathemati
    2 KB (276 words) - 16:53, 6 December 2008
  • Jordan's totient function
    In [[number theory]], '''Jordan's totient function''' <math>J_k(n)</math> of a [[positive inte *{{cite book | title=Problems in Analytic Number Theory | author=M. Ram Murty | authorlink=M. Ram Murty | volume=206 | series=Grad
    1 KB (181 words) - 16:05, 29 October 2008
  • Modulus (algebraic number theory)/Related Articles
    Auto-populated based on [[Special:WhatLinksHere/Modulus (algebraic number theory)]]. Needs checking by a human.
    526 bytes (68 words) - 18:36, 11 January 2010
  • Modular arithmetic
    ...ular arithmetic is of fundamental importance in [[abstract algebra]] and [[number theory]]. ...ss|Gauss]] in his foundational work ''[[Disquisitiones Arithmeticae]]'' on number theory (written when he was just 21 years old).
    2 KB (267 words) - 13:18, 6 December 2008
  • Partition function (number theory)/Bibliography
    ...| author=Tom M. Apostol | title=Modular functions and Dirichlet Series in Number Theory | edition=2nd ed | series=[[Graduate Texts in Mathematics]] | volume=41 |
    517 bytes (70 words) - 16:33, 13 December 2008
  • Number of divisors function
    In [[number theory]] the '''number of divisors function''' of a positive integer, denoted ''d'
    720 bytes (123 words) - 04:26, 1 November 2013
  • Conductor of a number field/Related Articles
    {{r|Modulus (algebraic number theory)}}
    595 bytes (77 words) - 15:38, 11 January 2010
  • Primitive root/Related Articles
    {{r|Number theory}}
    520 bytes (68 words) - 19:43, 11 January 2010
  • Sum-of-divisors function
    In [[number theory]] the '''sum-of-divisors function''' of a positive integer, denoted σ(''n'
    1 KB (172 words) - 04:53, 1 November 2013
  • Genus field
    In [[algebraic number theory]], the '''genus field''' ''G'' of a [[number field]] ''K'' is the [[maximal
    846 bytes (124 words) - 16:14, 28 October 2008
  • Integral closure
    ...e book | author=Pierre Samuel | authorlink=Pierre Samuel | title=Algebraic number theory | publisher=Hermann/Kershaw | year=1972 }}
    1 KB (172 words) - 15:42, 7 February 2009
  • Euclid/Related Articles
    {{r|Number theory}}
    927 bytes (119 words) - 16:24, 11 January 2010
  • Class field theory/Related Articles
    {{r|Algebraic number theory}}
    924 bytes (147 words) - 17:24, 10 January 2013
  • Commutative algebra/Related Articles
    {{r|Algebraic number theory}}
    715 bytes (91 words) - 17:34, 10 December 2008
  • Ernst Eduard Kummer
    ...lgebraic geometry]]. However, he is probably best known for his work in [[number theory]], and specifically, his progress towards a proof of [[Fermat's Last Theore
    385 bytes (48 words) - 00:30, 31 March 2008
  • Divisibility
    The following property is important and frequently used in number theory. Therefore it is also called <br> '''Fundamental lemma of number theory'''.
    3 KB (515 words) - 21:49, 22 July 2009
  • Totient function
    In [[number theory]], the '''totient function''' or '''Euler's φ function''' of a [[positive
    1 KB (224 words) - 17:35, 21 November 2008
  • Different ideal
    In [[algebraic number theory]], the '''different ideal''' is an invariant attached to an extension of [[ The relative different encodes the [[ramification#In algebraic number theory|ramification]] data of the field extension ''L''/''K''. A prime ideal ''p'
    2 KB (382 words) - 09:40, 12 June 2009
  • Modular arithmetic/Related Articles
    {{r|Number theory}}
    856 bytes (107 words) - 18:36, 11 January 2010
  • S-unit
    In [[mathematics]], in the field of [[algebraic number theory]], an '''''S'''''<nowiki></nowiki>'''-unit''' generalises the idea of [[Uni *{{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebraic number theory | publisher=Springer | isbn=0-387-94225-4 | year=1986 }} Chap. V.
    3 KB (381 words) - 16:02, 28 October 2008
  • Density (disambiguation)
    {{rpl|Density (number theory)}}
    536 bytes (65 words) - 18:50, 19 December 2020
  • Goldbach's conjecture
    Goldbach's conjecture is an unsolved problem in [[number theory]]. Simply put, it states that: The Goldbach conjecture is characteristic of number theory problems, that are often simple to state, but amazingly difficult to solve.
    2 KB (340 words) - 23:24, 14 February 2010
  • Discriminant of an algebraic number field
    In [[algebraic number theory]], the '''discriminant of an algebraic number field''' is an invariant atta
    1 KB (235 words) - 01:20, 18 February 2009
  • Wiener-Ikehara theorem
    ...Charles Vaughan (mathematician)|Robert C. Vaughan]] | title=Multiplicative number theory I. Classical theory | series=Cambridge tracts in advanced mathematics | vol
    2 KB (362 words) - 16:05, 9 November 2008
  • Lambda function
    In [[number theory]], the '''Lambda function''' is a function on [[positive integer]]s which g
    796 bytes (127 words) - 15:10, 2 December 2008
  • Modulus (algebraic number theory)
    In [[mathematics]], in the field of [[algebraic number theory]], a '''modulus''' (or an '''extended ideal''' or '''cycle''') is a formal * The ray class number divides the [[Class number (number theory)|class number]] of ''K''.
    4 KB (561 words) - 20:25, 5 December 2008
  • Prime number/Bibliography
    |title = Introduction to Analytic Number Theory
    949 bytes (118 words) - 12:40, 15 January 2008
  • Theta function
    * {{cite book | author=Tom M. Apostol | title=Introduction to Analytic Number Theory | series=Undergraduate Texts in Mathematics | year=1976 | publisher=[[Sprin ...| author=Tom M. Apostol | title=Modular functions and Dirichlet Series in Number Theory | edition=2nd ed | series=[[Graduate Texts in Mathematics]] | volume=41 |
    1 KB (161 words) - 04:13, 3 January 2009
  • Calculus/Related Articles
    {{r|Number theory}}
    1 KB (136 words) - 11:36, 11 January 2010
  • Selberg sieve/Bibliography
    * {{cite book | author=George Greaves | title=Sieves in number theory | publisher=[[Springer-Verlag]] | date=2001 | isbn=3-540-41647-1}}
    951 bytes (120 words) - 15:44, 9 December 2008
  • Diophantine equation/Related Articles
    {{r|Number theory}}
    350 bytes (42 words) - 12:01, 12 June 2009
  • Primitive root
    In [[number theory]], a '''primitive root''' of a [[modulus]] is a number whose powers run thr
    2 KB (338 words) - 16:43, 6 February 2009
  • Selberg sieve
    In [[mathematics]], in the field of [[number theory]], the '''Selberg sieve''' is a technique for estimating the size of "sifte
    3 KB (473 words) - 15:39, 9 December 2008
  • Cyclotomic field
    ...öhlich | authorlink=Ali Fröhlich | coauthors=M.J. Taylor | title=Algebraic number theory | series=Cambridge studies in advanced mathematics | volume=27 | publisher= ...e book | author=Pierre Samuel | authorlink=Pierre Samuel | title=Algebraic number theory | publisher=Hermann/Kershaw | year=1972 }}
    2 KB (342 words) - 12:52, 21 January 2009
  • Riemann zeta function/Related Articles
    {{r|Analytic number theory}}
    906 bytes (144 words) - 02:25, 12 November 2008
  • Turan sieve
    In [[mathematics]], in the field of [[number theory]], the '''Turán sieve''' is a technique for estimating the size of "sifted * {{cite book | author=George Greaves | title=Sieves in number theory | publisher=[[Springer-Verlag]] | date=2001 | isbn=3-540-41647-1}}
    3 KB (494 words) - 15:55, 29 October 2008
  • Generating function/Related Articles
    {{r|Number theory}}
    542 bytes (64 words) - 16:48, 11 January 2010
  • Quadratic field
    ...öhlich | authorlink=Ali Fröhlich | coauthors=M.J. Taylor | title=Algebraic number theory | series=Cambridge studies in advanced mathematics | volume=27 | publisher= ...orlink=Ian Stewart (mathematician) | coauthors=D.O. Tall | title=Algebraic number theory | publisher=Chapman and Hall | year=1979 | isbn=0-412-13840-9 | pages=59-62
    3 KB (453 words) - 17:18, 6 February 2009
  • Selberg sieve/Related Articles
    {{r|Number theory}}
    432 bytes (56 words) - 20:17, 11 January 2010
  • Turan sieve/Related Articles
    {{r|Number theory}}
    430 bytes (56 words) - 21:07, 11 January 2010
  • Dirichlet series/Related Articles
    {{r|Number theory}}
    436 bytes (54 words) - 11:42, 15 June 2009
  • Generating function
    ...[[complex analysis]] to problems in [[algorithmics]], [[combinatorics]], [[number theory]], [[probability]] and other areas. It is the basis of the engineering ter
    1 KB (148 words) - 13:24, 19 December 2009
  • Statistical independence/Related Articles
    {{r|Number theory}}
    535 bytes (68 words) - 20:36, 11 January 2010
  • Srinivasa Ramanujan
    ...made groundbreaking discoveries in various areas of mathematics, including number theory, infinite series, and modular forms. Number Theory: Ramanujan’s work in number theory significantly impacted the field. His insights into integer partitions, whe
    3 KB (352 words) - 14:08, 23 August 2023
  • Chinese remainder theorem/Related Articles
    {{r|Number theory}}
    556 bytes (69 words) - 11:49, 11 January 2010
  • Oxford University Press/Related Articles
    {{r|Partition function (number theory)}}
    1 KB (187 words) - 19:18, 11 January 2010
  • Delta form/Bibliography
    ...| author=Tom M. Apostol | title=Modular functions and Dirichlet Series in Number Theory | edition=2nd ed | series=[[Graduate Texts in Mathematics]] | volume=41 |
    480 bytes (58 words) - 02:19, 4 December 2008
  • Möbius function/Related Articles
    {{r|Number theory}}
    532 bytes (69 words) - 18:44, 11 January 2010
  • Brun-Titchmarsh theorem
    The '''Brun–Titchmarsh theorem''' in [[analytic number theory]] is an upper bound on the distribution on [[prime number|prime]]s in an [[
    1 KB (202 words) - 16:28, 9 December 2008
  • Algebraic number
    In [[mathematics]], and more specifically&mdash;in [[number theory]], an '''algebraic number''' is a [[complex number]] that is a root of a [[ ...ued forms the foundation of modern [[algebraic number theory]]. Algebraic number theory is now an immense field, and one of current research, but so far has found
    7 KB (1,145 words) - 00:49, 20 October 2013
  • Algebraic number field
    ...arithmetic structure of a number field has applications in other areas of number theory, such as the resulotion of [[Diophantine equations]]s. ...S. Cassels | coauthors=[[Albrecht Fröhlich|A. Fröhlich]] | title=Algebraic Number Theory) | publisher=[[Academic Press]] | year=1967 | isbn=012268950X }}
    7 KB (1,077 words) - 17:18, 10 January 2009
  • Norm (mathematics)/Related Articles
    {{r|Number theory}}
    576 bytes (77 words) - 19:04, 11 January 2010
  • Euclid's lemma
    In [[number theory]], '''Euclid's lemma''', named after the ancient Greek geometer and number
    2 KB (322 words) - 12:51, 18 December 2007
  • Arithmetic
    ...uestion leads us outside arithmetic proper into [[abstract algebra]] and [[number theory]]. In the latter branches of mathematics it is studied under which conditio
    4 KB (562 words) - 18:28, 5 January 2010
  • Möbius function
    In [[number theory]], the '''Möbius function''' μ(''n'') is an [[arithmetic function]] which
    2 KB (261 words) - 04:58, 10 December 2008
  • Bernhard Riemann
    ...fferential geometry]], the [[complex analysis|theory of functions]], and [[number theory]]. ...he read advanced mathematical books, including [[Adrien-Marie Legendre]]'s Number Theory (1830). Riemann studied mathematics at the [[University of Göttingen]] in
    5 KB (751 words) - 11:37, 25 March 2022
  • Carmichael number
    ...t known.<ref>{{cite book | author=Richard Guy | title=Unsolved problems in Number Theory | edition=3rd | publisher=Springer-Verlag | year=2004 | isbn=0-387-20860-7
    4 KB (576 words) - 12:00, 1 January 2013
  • Chinese remainder theorem
    ...odulus (number theory)|moduli]]. As well as being a fundamental tool in [[number theory]], the Chinese remainder theorem forms the theoretical basis of [[algorithm
    3 KB (535 words) - 15:02, 22 November 2008
  • Brun-Titchmarsh theorem/Related Articles
    {{r|Analytic number theory}}
    856 bytes (137 words) - 16:30, 9 December 2008
  • Different ideal/Related Articles
    {{r|Algebraic number theory}}
    857 bytes (137 words) - 16:47, 30 October 2008
  • P-adic metric/Related Articles
    {{r|Number theory}}
    882 bytes (141 words) - 07:05, 2 November 2008
  • Fibonacci number/Related Articles
    {{r|Number theory}}
    902 bytes (143 words) - 03:08, 16 October 2008
  • ABC conjecture
    ...and [[Joseph Oesterlé]] in 1985. It is connected with other problems of [[number theory]]: for example, the truth of the ABC conjecture would provide a new proof o
    2 KB (301 words) - 13:18, 13 January 2013
  • Prime Number Theorem
    ...ime numbers have long been known<ref>Ribenboim, ''Introduction to Analytic Number theory''</ref><ref>Scharlau and Opolka, ''From Fermat to Minkowski''</ref>. It was
    4 KB (703 words) - 12:02, 13 November 2007
  • Dirichlet character
    In [[number theory]], a [[Dirichlet character]] is a [[multiplicative function]] on the [[posi
    2 KB (335 words) - 06:03, 15 June 2009
  • Riemann zeta function
    ...]s. Its [[zeta function|generalizations]] have important applications to [[number theory]], [[arithmetic geometry]], [[graph theory]], and [[dynamical systems]], to ...eceived new life at the hands of Riemann in 1859".<ref>Andre Weil, ''Basic Number Theory'', p.185.</ref>
    7 KB (1,113 words) - 10:50, 4 October 2013
  • Unique factorization/Advanced
    ...on for most of the structure of whole numbers as described by [[elementary number theory]]. The formulation of many results (for instance, the [[Chinese remainder
    9 KB (1,496 words) - 06:25, 23 April 2008
  • Szpiro's conjecture
    In [[number theory]], '''Szpiro's conjecture''' concerns a relationship between the [[conducto
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  • Number
    ...pplication in many abstract mathematical fields, such as [[algebra]] and [[number theory]]. An irrational number can not be written as a fraction, and can indeed no ...r a way to bring the ideas and the techniques of [[power series]] within [[number theory]].
    11 KB (1,701 words) - 20:07, 1 July 2021
  • Cubic reciprocity
    * K. Ireland and M. Rosen, ''A classical introduction to modern number theory'', 2nd ed, Graduate Texts in Mathematics '''84''', Springer-Verlag, 1990.
    2 KB (319 words) - 15:45, 27 October 2008
  • Cyclic order
    # Cyclic orders occur naturally in number theory ([[residue set]]s and group theory ([[cyclic group]]s, [[permutation]]s).
    2 KB (361 words) - 21:13, 6 January 2011
  • Number theory/Bibliography
    A. Weil, Number theory. An approach through history. From Hammurapi to Legendre. Birkhäuser, Bost
    1 KB (157 words) - 00:48, 1 January 2009
  • Arithmetic function/Related Articles
    {{r|Number theory}}
    1 KB (179 words) - 06:02, 15 June 2009
  • Carl Friedrich Gauss
    ...nd [[scientist]] who contributed significantly to many fields, including [[number theory]], [[statistics]], [[analysis]], [[differential geometry]], [[geodesy]], [[
    1 KB (153 words) - 19:06, 1 April 2009
  • Unique factorization
    ...on for most of the structure of whole numbers as described by [[elementary number theory]]. For instance, the assumption that many electronic financial transaction
    3 KB (479 words) - 12:12, 9 April 2008
  • Integer
    ...<ref>[http://members.aol.com/jeff570/nth.html "Earliest Uses of Symbols of Number Theory"]</ref> The term '''rational integer''' is used in [[algebraic number theory]] to distinguish these "ordinary" integers, embedded in the [[field (mathem
    10 KB (1,566 words) - 08:34, 2 March 2024
  • Basel problem
    ...first formulated by [[Pietro Mengoli]] in 1650<ref>See Andre Weil, ''Basic Number Theory'', p.184</ref> Many of the most talented and influential mathematicians of
    1 KB (213 words) - 16:38, 14 July 2008
  • International Mathematical Olympiad
    ...The problems are in the following mathematical disciplines: [[algebra]], [[number theory]], [[combinatorics]] and [[geometry]]. On each day, the problems are in inc ...host country selects a ''shortlist'' with 6-10 problems each from algebra, number theory, geometry and combinatorics.
    7 KB (1,063 words) - 10:07, 28 February 2024
  • Serge Lang
    ...vist. His most important mathematical contributions were in the field of [[number theory]], especially [[diophantine geometry]], and he is best-known for his books, ...ion. Most are at graduate level and aimed at those intending research in [[number theory]]. He wrote [[calculus]] texts and also prepared a book on [[group cohomolo
    7 KB (1,058 words) - 07:16, 9 June 2009
  • Modular form
    ...in [[complex analysis]], with connections to [[algebraic geometry]] and [[number theory]]. Modular forms played a key rôle in [[Andrew Wiles]]' highly-publicized
    1 KB (235 words) - 19:47, 15 December 2010
  • Euclid's Elements
    Book VIII continues the treatment of number theory with coverage of geometric sequences and of square and cube numbers.
    8 KB (1,314 words) - 11:25, 13 January 2020
  • Prime number/Citable Version
    ...g history, going back to ancient times, and it remains an active part of [[number theory]] today. Although the study of prime numbers used to be an interesting but |title = Introduction to Analytic Number Theory
    14 KB (2,281 words) - 12:20, 13 September 2013
  • Littlewood polynomial
    ...authorlink=Peter Borwein | title=Computational Excursions in Analysis and Number Theory | series=CMS Books in Mathematics | publisher=[[Springer-Verlag]] | year=20
    2 KB (230 words) - 16:13, 27 October 2008
  • Number theory
    '''Number theory''' is a branch of [[pure mathematics]] devoted primarily to the study of th ([[diophantine geometry]]). Questions in number theory are often best understood through
    27 KB (4,383 words) - 08:05, 11 October 2011
  • Algorithm
    *The [[Euclidean algorithm]], known from number theory.
    2 KB (286 words) - 07:49, 10 February 2021
  • Probability space
    among <math> 1,\dots,n. </math> This limit, called the [[Density (number theory)|density]] of <math>A,</math> is a useful mathematical device.
    18 KB (2,797 words) - 14:37, 30 January 2011
  • Complex analysis
    ...art of many applications of complex analysis to disciplines ranging from [[number theory]] to [[physics]]. Its importance would be difficult to overestimate.
    6 KB (1,077 words) - 19:25, 29 September 2020
  • Module
    ...structures, such as algebraic topology, algebraic geometry, and algebraic number theory. A strong understanding of module theory is essential for anyone desiring
    7 KB (1,154 words) - 02:39, 16 May 2009
  • Prime number
    ...g history, going back to ancient times, and it remains an active part of [[number theory]] today. Although the study of prime numbers used to be an interesting but ...uilding block in many of the important results in the area of [[elementary number theory]]. An analogy can be made between the role prime numbers play in arithmetic
    18 KB (2,917 words) - 10:27, 30 August 2014
  • International Mathematical Olympiad Training Camp
    * Number theory: Topics covered may include congruences, Diophantine equations
    6 KB (1,015 words) - 16:13, 6 May 2008
  • Algebra
    Together with [[geometry]], [[mathematical analysis|analysis]], and [[number theory]], algebra is one of the several main branches of [[mathematics]]. [[Elemen
    18 KB (2,669 words) - 08:38, 17 April 2024
  • Euclidean algorithm
    In an example above we found the gcd of 357765 and 110959 to be 1037. In [[number theory]] it is of some interest that this entails that the [[Diophantine equation]
    7 KB (962 words) - 12:05, 3 May 2016
  • Number theory/Signed Articles/Elementary diophantine approximations
    ...introduction to diophantine approximations, as well as an introduction to number theory via diophantine approximations.
    35 KB (5,836 words) - 08:40, 15 March 2021
  • Asymmetric key cryptography
    ...plexity theory|computational complexity]] of "hard" problems, often from [[number theory]]. The hardness of RSA is related to the [[integer factorization]] proble
    8 KB (1,233 words) - 05:48, 8 April 2024
  • Tetration/Bibliography
    |title=Transfinite ordinals in recursive number theory
    5 KB (668 words) - 21:17, 2 November 2013
  • Wasan
    ...mathematics steadily progressed, primarily in areas of [[geometry]] and [[number theory]],<ref name="okumura80">Okumura, 2009. pp.&nbsp;80</ref> within an open int Seki evidently took great interest in the number theory, as his other achievements include discovering the theory of [[determinant]
    15 KB (2,247 words) - 10:12, 28 February 2024
  • Riemann-Roch theorem
    * M. Rosen ''Number theory in Function Fields'' ISBN 0-387-95335-3 Chapter 6 (algebraic approach)
    7 KB (1,127 words) - 14:33, 16 March 2008
  • Mathematics
    ...ular results as [[Fermat's last theorem]]. Two famous unsolved problems in number theory are the [[twin prime conjecture]] and [[Goldbach's conjecture]]. | [[Number theory]] || [[Set theory]] || [[Abstract algebra]] || [[Group theory]] || [[Order
    30 KB (4,289 words) - 16:03, 20 January 2023
  • Archive:What's Your Article?
    :This article will present an approach to the [[number theory]] via the theory of approximations of real numbers by rational numbers.
    11 KB (1,730 words) - 08:11, 27 August 2013
  • Gamma function
    ===Analytic number theory=== ...ers, considered as discrete objects, are an important concept in classical number theory because they contain many prime factors, but Riemann found a use for their
    32 KB (5,024 words) - 12:05, 22 December 2008
  • History of number theory
    Within the [[history of mathematics]], the '''history of number theory''' is dedicated to the origins and subsequent developments of [[number theory]] (called, in some historical and current contexts, ''(higher) arithmetic''
    35 KB (5,526 words) - 11:29, 4 October 2013
  • Newton's method
    .... Borwein & Peter B. Borwein (1987), ''Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity'', Wiley Interscience
    17 KB (2,889 words) - 12:40, 11 June 2009
  • Science
    ...every branch of mathematics has applications, even "pure" areas such as [[number theory]] and [[topology]]. Mathematics is most prevalent in [[physics]], but less
    30 KB (4,465 words) - 11:44, 2 February 2023
  • Adrien-Marie Legendre
    ...''th order ordinary Legendre polynomial appears. In addition he worked on number theory and [[elliptic function]]s.
    6 KB (854 words) - 09:52, 24 July 2011
  • Normal distribution
    *[[Erdős-Kac theorem]], on the occurrence of the normal distribution in [[number theory]]
    46 KB (6,956 words) - 07:01, 9 June 2009
  • Cryptography
    ...complexity theory|computational complexity]], [[abstract algebra]], and [[number theory]]. However, cryptography is not ''just'' a branch of mathematics. It might
    52 KB (8,332 words) - 05:49, 8 April 2024
  • Tetration
    |title=Transfinite ordinals in recursive number theory
    65 KB (10,203 words) - 04:16, 8 September 2014
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