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    Sigma Function

    Alternate name
    Basic definition

    The divisor function of order k is the number theoretic function that gives the sum of kth powers of divisors of a given integer.

    Detailed definition

    The divisor function σ_k(n) for n an integer is defined as the sum of the kth powers of the (positive integer) divisors of n, σ_k(n) congruent sum_(d|n) d^k.
It is implemented in the Wolfram Language as DivisorSigma[k, n].

    Related Wolfram Language symbol

    DivisorSigma

    Educational grade level

    college level

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