# Arithmetic function/Related Articles

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A list of Citizendium articles, and planned articles, about Arithmetic function.

## Subtopics

• Average order of an arithmetic function [r]: A simple or well-known function, usually continuous and montonic, which on average takes the same or closely approximate values as a given arithmetic function. [e]
• Normal order of an arithmetic function [r]: A simple or well-known function, usually continuous and montonic, which "usually" takes the same or closely approximate values as a given arithmetic function. [e]

### Totally multiplicative functions

• Dirichlet character [r]: A group homomorphism on the multiplicative group in modular arithmetic extended to a multiplicative function on the positive integers. [e]

### Multiplicative functions

• Totient function [r]: The number of integers less than or equal to and coprime to a given integer. [e]
• Jordan's totient function [r]: A generalisation of Euler's totient function. [e]
• Lambda function [r]: The exponent of the multiplicative group modulo an integer. [e]
• Möbius function [r]: Arithmetic function which takes the values -1, 0 or +1 depending on the prime factorisation of its input n. [e]