Arithmetic functions

In mathematics, an average of a collection or group is a value that is most central, common, or typical in some sense, and represents its overall position. In mathematics, it most commonly refers to the arithmetic mean, but may also refer to other measures such as other types of mean, the median, or the mode.

function representing the number of primes less than or equal to a given number

any function whose domain is the positive integers and whose range is a subset of the complex numbers

Function on an integer n which is log(p) if n equals p^k; zero otherwise

ordered succession of integers, defined by a formula, recurrence, or property of its members

difference between two successive prime numbers

summatory function of the Möbius function

convolution operation defined on complex‐valued functions over positive integers

relation between pairs of arithmetic functions

mathematical recursive sequence

mathematical function

arithmetic function such that the image of the product of two coprimes is the sum of their images

problem of counting integer points within a circle of given radius centered at the origin

sum of all proper divisors of a natural number

function defined on integers in number theory

function which returns the largest least common multiple of any partition of its input

number of partitions of an integer, often used in number theory

function in mathematical number theory

Summatory function of the divisor-counting function