Twisted traces of modular functions on hyperbolic $3$-space
Number Theory
2024-07-02 v1
Abstract
We compute analogues of twisted traces of CM values of harmonic modular functions on hyperbolic -space and show that they are essentially given by Fourier coefficients of the -invariant. From this we deduce that the twisted traces of these harmonic modular functions are integers. Additionally, we compute the twisted traces of Eisenstein series on hyperbolic -space in terms of Dirichlet -functions and divisor sums.
Keywords
Cite
@article{arxiv.2407.01368,
title = {Twisted traces of modular functions on hyperbolic $3$-space},
author = {Sebastián Herrero and Özlem Imamoglu and Anna-Maria von Pippich and Markus Schwagenscheidt},
journal= {arXiv preprint arXiv:2407.01368},
year = {2024}
}