acb_theta_sum_radius
Synopsis
#include <flint/acb_theta.h>Sets eps to 2^{-\mathit{prec}} and R2 to a squared radius R^2 \ge \max(4, 2\,\mathit{ord}) such that (1 + \sqrt{8/\pi}) R^{g - 1 + 2\,\mathit{ord}} e^{-R^2} \prod_{j} (1 + \sqrt{2\pi}/\gamma_j) \le 2^{-\mathit{prec}}, where \gamma_j are the diagonal entries of C = cho. For ord = 0, summing over the ellipsoid of radius R computes \widetilde{\theta}_{a,b} with a tail of absolute value at most eps.
Cite this page
The FLINT team, “acb_theta_sum_radius (acb_theta.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_theta/acb_theta_sum_radius.html (generated 2026-10-20).
@misc{flint-doc-acb-theta-acb-theta-sum-radius,
author = {{The FLINT team}},
title = {{acb\_theta\_sum\_radius (acb\_theta.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/acb_theta/acb_theta_sum_radius.html},
note = {Generated 2026-10-20}
}