acb_modular_eta
Synopsis
#include <flint/acb_modular.h>Sets z to the Dedekind eta function \eta(\tau) = e^{\pi i \tau/12} \prod_{n \ge 1} (1 - e^{2\pi i n\tau}), by moving \tau to the fundamental domain, summing the pentagonal number series with acb_modular_eta_sum, and applying the transformation formula.
Cite this page
The FLINT team, “acb_modular_eta (acb_modular.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_modular/acb_modular_eta.html (generated 2026-10-20).
@misc{flint-doc-acb-modular-acb-modular-eta,
author = {{The FLINT team}},
title = {{acb\_modular\_eta (acb\_modular.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/acb_modular/acb_modular_eta.html},
note = {Generated 2026-10-20}
}