acb_dirichlet_vec_mellin_arb
Synopsis
#include <flint/acb_dirichlet.h>void acb_dirichlet_vec_mellin_arb(acb_ptr res, const dirichlet_group_t G, const dirichlet_char_t chi, slong len, const arb_t t, slong n, slong prec)sourceSets res[k], for 0 \le k < n, to t^{k/2} \sum_{m=1}^{\text{len}-1} \chi(m) m^\delta e^{-\pi m^2 t^{2k}/q} (half the theta series at the geometric sequence t^k, scaled), with the tail bound for the truncation after len terms. These are samples for computing the Mellin transform of the theta series.
Cite this page
The FLINT team, “acb_dirichlet_vec_mellin_arb (acb_dirichlet.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_dirichlet/acb_dirichlet_vec_mellin_arb.html (generated 2026-10-20).
@misc{flint-doc-acb-dirichlet-acb-dirichlet-vec-mellin-arb,
author = {{The FLINT team}},
title = {{acb\_dirichlet\_vec\_mellin\_arb (acb\_dirichlet.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/acb_dirichlet/acb_dirichlet_vec_mellin_arb.html},
note = {Generated 2026-10-20}
}