FLINT3.7.0-dev

_acb_poly_zeta_em_tail_naive, _acb_poly_zeta_em_tail_bsplit

Synopsis#include <flint/acb_poly.h>
void _acb_poly_zeta_em_tail_naive(acb_ptr z, const acb_t s, const acb_t Na, acb_srcptr Nasx, slong M, slong len, slong prec)source
void _acb_poly_zeta_em_tail_bsplit(acb_ptr z, const acb_t s, const acb_t Na, acb_srcptr Nasx, slong M, slong len, slong prec)source

Evaluate the tail (the Bernoulli number terms) of the Euler–Maclaurin formula for ζ(s+x,a)\zeta(s + x, a) as a power series, given N+aN + a and the series of (N+a)−(s+x)(N + a)^{-(s+x)}, by the naive recurrence or by binary splitting.

Cite this page

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