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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

{{r|Partition function (number theory)}}

...thor=Richard K. Guy|authorlink=Richard K. Guy|title=[[Unsolved Problems in Number Theory]]|publisher=[[Springer-Verlag]]|date=2004|isbn=0-387-20860-7}}

{{r|Number theory}}

* {{cite book | title=Introduction to Analytic and Probabilistic Number Theory | author=Gérald Tenenbaum | series=Cambridge studies in advanced mathemati

{{r|Number theory}}

...ath>. Their study forms a part of the branch of [[mathematics]] known as [[number theory]].

...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

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.

* {{cite book | author=Tom M. Apostol | title=Introduction to Analytic Number Theory | series=Undergraduate Texts in Mathematics | year=1976 | publisher=[[Sprin

A Tauberian theorem used in number theory to relate the behaviour of a real sequence to the analytic properties of th

Some other solved/unsolved problems in number theory:

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

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

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...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).

...| author=Tom M. Apostol | title=Modular functions and Dirichlet Series in Number Theory | edition=2nd ed | series=[[Graduate Texts in Mathematics]] | volume=41 |

In [[number theory]] the '''number of divisors function''' of a positive integer, denoted ''d'

{{r|Modulus (algebraic number theory)}}

{{r|Number theory}}