FLINT3.7.0-dev

fmpz_factor_divisor_sigma

Synopsis#include <flint/fmpz_factor.h>
void fmpz_factor_divisor_sigma(fmpz_t res, ulong k, const fmpz_factor_t fac)source

Sets res to \sigma_k(n) = \sum_{d \mid n} d^k = \prod_i (p_i^{k(e_i + 1)} - 1)/(p_i^k - 1) (the number of divisors for k = 0).

Cite this page

The FLINT team, “fmpz_factor_divisor_sigma (fmpz_factor.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fmpz_factor/fmpz_factor_divisor_sigma.html (generated 2026-10-20).