skip to main content
LOTERRE

LOTERRE

Search from vocabulary

Content language

| español français
Search help

Concept information

number > number theory > arithmetic function

Preferred term

arithmetic function  

Definition(s)

  • In number theory, an arithmetic, arithmetical, or number-theoretic function is for most authors any function f(n) whose domain is the positive integers and whose range is a subset of the complex numbers. Hardy & Wright include in their definition the requirement that an arithmetical function "expresses some arithmetical property of n". An example of an arithmetic function is the divisor function whose value at a positive integer n is equal to the number of divisors of n.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Arithmetic_function)

Broader concept(s)

Synonym(s)

  • arithmetical function
  • number-theoretic function

In other languages

URI

http://data.loterre.fr/ark:/67375/PSR-JPRK8NV8-1

Download this concept:

RDF/XML TURTLE JSON-LD Last modified 10/12/23