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单词 sigmaFunction
释义

σ function


Given a positive integer n, the sum of the integers 0<dn such that d|n is the value of the sum of divisors function for n, often symbolized by a Greek lowercase σ. Thus,

σ(n)=d|nd.

Sometimes this functionMathworldPlanetmath is referred to as σ1(n), highlighting its relation to the divisor functionDlmfDlmfMathworldPlanetmath.

Given coprime integers m and n (that is, gcd(m,n)=1) then σ(mn)=σ(m)σ(n), meaning that the sum of divisors function is a multiplicative functionMathworldPlanetmath.

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更新时间:2025/5/4 3:52:43