TOPICS
Arithmetic Function
An arithmetic function is a function
defined for all
, usually taken to be complex-valued, so that
(Jones and Jones 1998, p. 143).
An alternative definition of arithmetic function is a function
such that
 |
and
 |
(Atanassov 1985; Trott 2004, p. 28).
See also
Integer Function,NumberTheoretic FunctionExplore with Wolfram|Alpha
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References
Atanassov, K. "An Arithmetic Function and Some of Its Applications."Bull. Number Th. Related Topics9, 18-27, 1985.Jones, G. A. and Jones, J. M. "Arithmetic Functions." Ch. 8 inElementary Number Theory. Berlin: Springer-Verlag, pp. 143-162, 1998.Trott, M.The Mathematica GuideBook for Programming. New York: Springer-Verlag, 2004.http://www.mathematicaguidebooks.org/.Referenced on Wolfram|Alpha
Arithmetic FunctionCite this as:
Weisstein, Eric W. "Arithmetic Function."FromMathWorld--A Wolfram Resource.https://mathworld.wolfram.com/ArithmeticFunction.html