`acb_hypgeom_dilog_bitburst`

Synopsis#include <flint/acb_hypgeom.h>

void acb_hypgeom_dilog_bitburst(acb_t res, acb_t z0, const acb_t z, slong prec)source

Sets z0 to a point with a short binary expansion close to $z$ and res to $\operatorname{Li}_2(z) - \operatorname{Li}_2(z_0)$ , computed with the bit-burst algorithm: $z_0$ is $z$ truncated to 16 fractional bits, and continuation steps lead from it through the truncations of $z$ to 32, 64, 128, ... bits to $z$ . If $z$ is close to the branch cut, it sets z0 to $z$ and res to 0.

Cite this page

The FLINT team, “acb_hypgeom_dilog_bitburst (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_bitburst.html (generated 2026-11-02).

@misc{flint-doc-acb-hypgeom-acb-hypgeom-dilog-bitburst,
  author       = {{The FLINT team}},
  title        = {{acb\_hypgeom\_dilog\_bitburst (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_bitburst.html},
  note         = {Generated 2026-11-02}
}

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