Effective estimates for traces of singular moduli
Number Theory
2025-04-15 v1
Abstract
Traces of singular moduli can be approximated by exponential sums of quadratic irrationals. Recently Andersen and Duke used theory of Maass forms to estimate generalized twisted traces with power-saving error bounds. We establish an asymptotic formula with effective error bounds for such traces. Our methods depend on an explicit bound for sums of Kloosterman sums on .
Keywords
Cite
@article{arxiv.2305.19649,
title = {Effective estimates for traces of singular moduli},
author = {Oscar E. González and Qihang Sun},
journal= {arXiv preprint arXiv:2305.19649},
year = {2025}
}