Transformation laws for generalized Dedekind sums associated to Fuchsian groups
Number Theory
2024-12-17 v1
Abstract
We establish transformation laws for generalized Dedekind sums associated to the Kronecker limit function of non-holomorphic Eisenstein series and their higher-order variants. These results apply to general Fuchsian groups of the first kind, and examples are provided in the cases of the Hecke triangle groups, the Hecke congruence groups , and the non-congruence arithmetic groups .
Keywords
Cite
@article{arxiv.1904.11333,
title = {Transformation laws for generalized Dedekind sums associated to Fuchsian groups},
author = {Claire Burrin and Jay Jorgenson and Cormac O'Sullivan and Lejla Smajlović},
journal= {arXiv preprint arXiv:1904.11333},
year = {2024}
}
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18 pages