`acb_mzeta_mzv_colored`

Synopsis#include <flint/acb_mzeta.h>

void acb_mzeta_mzv_colored(acb_t res, const ulong * s, const ulong * e, slong r, ulong N, slong prec)source

The colored multiple zeta value $\operatorname{Li}_{s_1, \ldots, s_r}(\zeta^{e_1}, \ldots, \zeta^{e_r})$ , $\zeta = e^{2 \pi i/N}$ ; for $N = 2$ these are the alternating sums (Euler sums). Supported for $N \le 8$ , where the algorithm of acb_mzeta_polylog applies to all indices; the result is indeterminate for larger $N$ .

Cite this page

The FLINT team, “acb_mzeta_mzv_colored (acb_mzeta.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_mzeta/acb_mzeta_mzv_colored.html (generated 2026-11-07).

@misc{flint-doc-acb-mzeta-acb-mzeta-mzv-colored,
  author       = {{The FLINT team}},
  title        = {{acb\_mzeta\_mzv\_colored (acb\_mzeta.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/acb_mzeta/acb_mzeta_mzv_colored.html},
  note         = {Generated 2026-11-07}
}

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