Bounds for theta sums in higher rank II
Number Theory
2023-05-12 v1
Abstract
In the first paper of this series we established new upper bounds for multi-variable exponential sums associated with a quadratic form. The present study shows that if one adds a linear term in the exponent, the estimates can be further improved for almost all parameter values. Our results extend the bound for one-variable theta sums obtained by Fedotov and Klopp in 2012.
Cite
@article{arxiv.2305.06995,
title = {Bounds for theta sums in higher rank II},
author = {Jens Marklof and Matthew Welsh},
journal= {arXiv preprint arXiv:2305.06995},
year = {2023}
}
Comments
26 pages