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Title: Arithmetic Function -- from Wolfram MathWorld

Open Graph Title: Arithmetic Function -- from Wolfram MathWorld

X Title: Arithmetic Function -- from Wolfram MathWorld

Description: An arithmetic function is a function f(n) defined for all n in N, usually taken to be complex-valued, so that f:N->C (Jones and Jones 1998, p. 143). An alternative definition of arithmetic function is a function psi(n) such that psi(n+m)=psi(psi(n)+psi(m)) and psi(nm)=psi(psi(n)psi(m)) (Atanassov 1985; Trott 2004, p. 28).

Open Graph Description: An arithmetic function is a function f(n) defined for all n in N, usually taken to be complex-valued, so that f:N->C (Jones and Jones 1998, p. 143). An alternative definition of arithmetic function is a function psi(n) such that psi(n+m)=psi(psi(n)+psi(m)) and psi(nm)=psi(psi(n)psi(m)) (Atanassov 1985; Trott 2004, p. 28).

X Description: An arithmetic function is a function f(n) defined for all n in N, usually taken to be complex-valued, so that f:N->C (Jones and Jones 1998, p. 143). An alternative definition of arithmetic function is a function psi(n) such that psi(n+m)=psi(psi(n)+psi(m)) and psi(nm)=psi(psi(n)psi(m)) (Atanassov 1985; Trott 2004, p. 28).

Opengraph URL: https://mathworld.wolfram.com/ArithmeticFunction.html

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DC.TitleArithmetic Function
DC.CreatorWeisstein, Eric W.
DC.DescriptionAn arithmetic function is a function f(n) defined for all n in N, usually taken to be complex-valued, so that f:N->C (Jones and Jones 1998, p. 143). An alternative definition of arithmetic function is a function psi(n) such that psi(n+m)=psi(psi(n)+psi(m)) and psi(nm)=psi(psi(n)psi(m)) (Atanassov 1985; Trott 2004, p. 28).
DC.Subject33
DC.RightsCopyright 1999-2026 Wolfram Research, Inc. See https://mathworld.wolfram.com/about/terms.html for a full terms of use statement.
DC.Formattext/html
DC.Identifierhttps://mathworld.wolfram.com/ArithmeticFunction.html
DC.Languageen
DC.PublisherWolfram Research, Inc.
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