Arithmetic function/Related Articles

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

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]

Other related topics