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- #Redirect [[Number theory]]27 bytes (3 words) - 07:04, 30 May 2008
- '''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 through27 KB (4,383 words) - 08:05, 11 October 2011
- ...tes of America]] which supports research and conferences in the field of [[number theory]].312 bytes (43 words) - 14:07, 2 February 2023
- 86 bytes (11 words) - 10:21, 4 September 2009
- 12 bytes (1 word) - 06:46, 11 November 2007
- A. Weil, Number theory. An approach through history. From Hammurapi to Legendre. Birkhäuser, Bost1 KB (157 words) - 00:48, 1 January 2009
- 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
- ...the United States which supports research and conferences in the field of number theory.159 bytes (22 words) - 15:29, 27 October 2008
- 97 bytes (13 words) - 17:36, 24 August 2009
- 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
- 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
- In [[number theory]] the '''partition function''' ''p''(''n'') counts the number of [[partitio483 bytes (70 words) - 16:32, 13 December 2008
- 154 bytes (13 words) - 08:42, 15 March 2021
- 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
- 167 bytes (25 words) - 15:54, 5 December 2008
- The origins and subsequent developments of number theory, which is sometimes distinguished from arithmetic involving elementary calc233 bytes (28 words) - 12:48, 11 October 2011
- 92 bytes (12 words) - 16:28, 13 December 2008
- 60 bytes (10 words) - 23:38, 13 September 2013
- ...| 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
- Auto-populated based on [[Special:WhatLinksHere/Modulus (algebraic number theory)]]. Needs checking by a human.526 bytes (68 words) - 18:36, 11 January 2010
- 876 bytes (139 words) - 16:30, 13 December 2008
- ...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
Page text matches
- ...[[differential geometry]], [[theory of functions|function theory]], and [[number theory]].171 bytes (18 words) - 10:52, 31 May 2009
- In [[algebraic number theory]], '''class field theory''' studies the abelian extensions of an [[algebrai191 bytes (26 words) - 17:20, 10 January 2013
- ...thin mathematics that study discrete objects: combinatorics, graph theory, number theory, mathematical logic, …167 bytes (18 words) - 09:28, 18 June 2009
- {{r|Modulus (algebraic number theory)}} {{r|Number theory}}843 bytes (113 words) - 10:49, 11 January 2010
- ...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
- * {{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
- 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 found1 KB (179 words) - 14:14, 10 December 2008
- ...tes of America]] which supports research and conferences in the field of [[number theory]].312 bytes (43 words) - 14:07, 2 February 2023
- ...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
- #Redirect [[Number theory]]27 bytes (3 words) - 07:04, 30 May 2008
- ...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 Yo1 KB (153 words) - 14:18, 16 January 2013
- * {{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 Ad470 bytes (55 words) - 09:40, 12 June 2009
- {{r|Number theory}}291 bytes (36 words) - 08:06, 19 August 2009
- #REDIRECT [[Modulus (algebraic number theory)#Ray class group]]63 bytes (8 words) - 06:18, 6 December 2008
- {{r|Number theory}}610 bytes (72 words) - 10:57, 18 June 2009
- {{r|Number theory}}245 bytes (29 words) - 09:38, 18 June 2009
- ...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''' refers to two related concepts, in [[set theory]] and [[number theory]]. ==Partition (number theory)==2 KB (336 words) - 07:17, 16 January 2009
- {{r|Number theory}}654 bytes (81 words) - 13:36, 29 November 2008
- 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 zeta function]] Mathematical function important in [[number theory]]310 bytes (33 words) - 07:04, 7 February 2009
- <noinclude>{{Subpages}}</noinclude>The branch of algebraic number theory which studies the abelian extensions of a number field, or more generally a171 bytes (26 words) - 17:18, 10 January 2013
- A computer algebra system for mathematicians interested in algebraic number theory.119 bytes (14 words) - 15:20, 28 October 2008
- Used in algebraic number theory; a modulus which determines the splitting of prime ideals.126 bytes (17 words) - 01:06, 18 February 2009
- {{r|Algebraic number theory}}887 bytes (126 words) - 02:29, 22 December 2008
- ...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
- ...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
- ...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
- ...in [[complex analysis]], with connections to [[algebraic geometry]] and [[number theory]]151 bytes (19 words) - 18:29, 15 December 2010
- ...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
- 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
- ...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=[[S1 KB (178 words) - 02:38, 10 November 2008
- * {{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
- 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 | jour1 KB (199 words) - 10:50, 18 June 2009
- ...ositive integers, usually with integer, real or complex values, studied in number theory.159 bytes (23 words) - 15:51, 2 December 2008
- {{r|Modulus (algebraic number theory)}}205 bytes (29 words) - 15:13, 10 January 2024
- {{r|Algebraic number theory}}297 bytes (38 words) - 11:43, 15 June 2009
- | title = Algebraic Number Theory240 bytes (22 words) - 07:44, 21 September 2008
- {{r|Number theory}} {{r|Partition function (number theory)}}633 bytes (79 words) - 19:23, 11 January 2010
- {{r|Number theory}}1 KB (180 words) - 17:00, 11 January 2010
- ...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
- {{r|Number theory}}2 KB (247 words) - 06:00, 7 November 2010
- ...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
- In [[number theory]] the '''partition function''' ''p''(''n'') counts the number of [[partitio483 bytes (70 words) - 16:32, 13 December 2008
- ...the United States which supports research and conferences in the field of number theory.159 bytes (22 words) - 15:29, 27 October 2008
- ...ational numbers of finite degree; a principal object of study in algebraic number theory.151 bytes (22 words) - 03:01, 1 January 2009
- The origins and subsequent developments of number theory, which is sometimes distinguished from arithmetic involving elementary calc233 bytes (28 words) - 12:48, 11 October 2011
- ...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
- ...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
- {{r|Number theory}}321 bytes (41 words) - 05:50, 15 June 2009
- 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 mathemati2 KB (254 words) - 08:27, 19 December 2011
- {{r|Partition function (number theory)}}101 bytes (11 words) - 11:06, 31 May 2009
- ...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
- {{r|Number theory}}398 bytes (43 words) - 20:00, 29 July 2010
- * {{cite book | title=Introduction to Analytic and Probabilistic Number Theory | author=Gérald Tenenbaum | series=Cambridge studies in advanced mathemati491 bytes (65 words) - 02:24, 3 December 2008
- {{r|Number theory}}454 bytes (55 words) - 03:14, 21 October 2010
- ...ath>. Their study forms a part of the branch of [[mathematics]] known as [[number theory]].542 bytes (82 words) - 19:39, 7 April 2009
- ...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 inter1,015 bytes (131 words) - 13:22, 13 January 2013
- 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
- * {{cite book | author=Tom M. Apostol | title=Introduction to Analytic Number Theory | series=Undergraduate Texts in Mathematics | year=1976 | publisher=[[Sprin831 bytes (112 words) - 02:21, 3 December 2008
- A Tauberian theorem used in number theory to relate the behaviour of a real sequence to the analytic properties of th183 bytes (27 words) - 16:51, 6 December 2008
- Some other solved/unsolved problems in number theory:243 bytes (27 words) - 19:07, 25 April 2008
- 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 mathemati2 KB (276 words) - 16:53, 6 December 2008
- 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=Grad1 KB (181 words) - 16:05, 29 October 2008
- Auto-populated based on [[Special:WhatLinksHere/Modulus (algebraic number theory)]]. Needs checking by a human.526 bytes (68 words) - 18:36, 11 January 2010
- ...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
- ...| 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
- In [[number theory]] the '''number of divisors function''' of a positive integer, denoted ''d'720 bytes (123 words) - 04:26, 1 November 2013
- {{r|Modulus (algebraic number theory)}}595 bytes (77 words) - 15:38, 11 January 2010
- {{r|Number theory}}520 bytes (68 words) - 19:43, 11 January 2010
- In [[number theory]] the '''sum-of-divisors function''' of a positive integer, denoted σ(''n'1 KB (172 words) - 04:53, 1 November 2013
- In [[algebraic number theory]], the '''genus field''' ''G'' of a [[number field]] ''K'' is the [[maximal846 bytes (124 words) - 16:14, 28 October 2008
- ...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
- {{r|Number theory}}927 bytes (119 words) - 16:24, 11 January 2010
- {{r|Algebraic number theory}}924 bytes (147 words) - 17:24, 10 January 2013
- {{r|Algebraic number theory}}715 bytes (91 words) - 17:34, 10 December 2008
- ...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 Theore385 bytes (48 words) - 00:30, 31 March 2008
- 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
- In [[number theory]], the '''totient function''' or '''Euler's φ function''' of a [[positive1 KB (224 words) - 17:35, 21 November 2008
- 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
- {{r|Number theory}}856 bytes (107 words) - 18:36, 11 January 2010
- 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
- {{rpl|Density (number theory)}}536 bytes (65 words) - 18:50, 19 December 2020
- 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
- In [[algebraic number theory]], the '''discriminant of an algebraic number field''' is an invariant atta1 KB (235 words) - 01:20, 18 February 2009
- ...Charles Vaughan (mathematician)|Robert C. Vaughan]] | title=Multiplicative number theory I. Classical theory | series=Cambridge tracts in advanced mathematics | vol2 KB (362 words) - 16:05, 9 November 2008
- In [[number theory]], the '''Lambda function''' is a function on [[positive integer]]s which g796 bytes (127 words) - 15:10, 2 December 2008
- 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
- |title = Introduction to Analytic Number Theory949 bytes (118 words) - 12:40, 15 January 2008
- * {{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
- {{r|Number theory}}1 KB (136 words) - 11:36, 11 January 2010
- * {{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
- {{r|Number theory}}350 bytes (42 words) - 12:01, 12 June 2009
- In [[number theory]], a '''primitive root''' of a [[modulus]] is a number whose powers run thr2 KB (338 words) - 16:43, 6 February 2009
- In [[mathematics]], in the field of [[number theory]], the '''Selberg sieve''' is a technique for estimating the size of "sifte3 KB (473 words) - 15:39, 9 December 2008
- ...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
- {{r|Analytic number theory}}906 bytes (144 words) - 02:25, 12 November 2008
- 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
- {{r|Number theory}}542 bytes (64 words) - 16:48, 11 January 2010
- ...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=59-623 KB (453 words) - 17:18, 6 February 2009