`acb_hypgeom_dilog_bernoulli`

Synopsis#include <flint/acb_hypgeom.h>

void acb_hypgeom_dilog_bernoulli(acb_t res, const acb_t z, slong prec)source

Sets res to $\operatorname{Li}_2(z)$ computed with the series expansion in $w = \log(z)$ , which converges like $|w/(2\pi)|^n$ . This gives good convergence near $z = e^{\pm i \pi / 3}$ , where the hypergeometric series fail. Since the coefficients involve Bernoulli numbers, the method is meant for moderate precision.

Cite this page

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

@misc{flint-doc-acb-hypgeom-acb-hypgeom-dilog-bernoulli,
  author       = {{The FLINT team}},
  title        = {{acb\_hypgeom\_dilog\_bernoulli (acb\_hypgeom.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_dilog_bernoulli.html},
  note         = {Generated 2026-11-02}
}

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