arb_polylog, arb_polylog_si
Synopsis
#include <flint/arb.h>Set w to the polylogarithm \operatorname{Li}_s(z), computed with acb_polylog. The result is indeterminate if z contains 1, and if the midpoint of z is at least 1 unless s is a nonpositive integer (where the function is not real). In particular \operatorname{Li}_s(1) = \zeta(s) is not returned; use acb_polylog or arb_zeta for it.
Cite this page
The FLINT team, “arb_polylog, arb_polylog_si (arb.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb/arb_polylog.html (generated 2026-10-20).
@misc{flint-doc-arb-arb-polylog,
author = {{The FLINT team}},
title = {{arb\_polylog, arb\_polylog\_si (arb.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/arb/arb_polylog.html},
note = {Generated 2026-10-20}
}