DedekindSum, DedekindEtaEpsilon, JacobiThetaEpsilon, JacobiThetaPermutation
#include <flint/fexpr_builtin.h>DedekindSumDedekindEtaEpsilonJacobiThetaEpsilonJacobiThetaPermutationQuantities in modular transformation formulas: the Dedekind sum DedekindSum(h, k) (s(h, k)), the root of unity DedekindEtaEpsilon(a, b, c, d) (\varepsilon(a, b, c, d)) in the transformation of \eta under a matrix \left(\begin{smallmatrix} a & b \\ c & d \end{smallmatrix}\right), and the root of unity JacobiThetaEpsilon(j, a, b, c, d) (\varepsilon_{j}\!\left(a, b, c, d\right)) and index permutation JacobiThetaPermutation(j, a, b, c, d) (S_{j}\!\left(a, b, c, d\right)) in the transformation of \theta_j.
The FLINT team, “DedekindSum, DedekindEtaEpsilon, JacobiThetaEpsilon, JacobiThetaPermutation (fexpr_builtin.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fexpr_builtin/DedekindSum.html (generated 2026-10-20).
@misc{flint-doc-fexpr-builtin-DedekindSum,
author = {{The FLINT team}},
title = {{DedekindSum, DedekindEtaEpsilon, JacobiThetaEpsilon, JacobiThetaPermutation (fexpr\_builtin.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/fexpr_builtin/DedekindSum.html},
note = {Generated 2026-10-20}
}