Arithmetic function/Related Articles
Jump to navigation
Jump to search
- See also changes related to Arithmetic function, or pages that link to Arithmetic function or to this page or whose text contains "Arithmetic function".
Parent topics
- Number theory [r]: The study of integers and relations between them. [e]
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]
- Formal Dirichlet series [r]: Add brief definition or description
- Wiener-Ikehara theorem [r]: A Tauberian theorem used in number theory to relate the behaviour of a real sequence to the analytic properties of the associated Dirichlet series. [e]