Multiplicative function: Difference between revisions

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Revision as of 04:18, 26 October 2024

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** ''σ''₀(''n'') = ''d''(''n'') the number of positive [[divisor]]s of ''n'',

** ''σ''₁(''n'') = ''σ''(''n''), the sum of all the positive divisors of ''n''.

*The sum of the ''k''-th [[exponentiation|powers]] of the [[Unitaryunitary divisor]]s is denoted by σ*_''k''(''n''):

:<math>\sigma_k^*(n) = \sum_{d \,\mid\, n \atop \gcd(d,\,n/d)=1} \!\! d^k.</math>