FLINT3.7.0-dev
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_acb_poly_powsum_series_naive, _acb_poly_powsum_series_naive_threaded

Synopsis#include <flint/acb_poly.h>
void _acb_poly_powsum_series_naive(acb_ptr z, const acb_t s, const acb_t a, const acb_t q, slong n, slong len, slong prec)source
void _acb_poly_powsum_series_naive_threaded(acb_ptr z, const acb_t s, const acb_t a, const acb_t q, slong n, slong len, slong prec)source

Set {z, len} to S(s,a,q,n)S(s, a, q, n) by summing the terms one by one; the series of (k+a)−s−t(k+a)^{-s-t} is (k+a)−s∑j(−log⁡(k+a))jtj/j!(k+a)^{-s} \sum_j (-\log(k+a))^j t^j/j!. The threaded version splits the sum over flint_get_num_threads() threads.

Cite this page

The FLINT team, “_acb_poly_powsum_series_naive, _acb_poly_powsum_series_naive_threaded (acb_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_poly/_acb_poly_powsum_series_naive.html (generated 2026-11-02).