Character sums to prime power moduli evaluated at binary quadratic forms
Number Theory
2026-05-18 v3
Abstract
We establish estimates for short character sums to prime power moduli evaluated at binary quadratic forms. This complements estimates established by Heath-Brown for such character sums to squarefree moduli. Our approach uses -adic analysis. More precisely, we use tools from the -adic theory of exponential sums, as initiated by Mili\'cevi\'c.
Keywords
Cite
@article{arxiv.2508.11231,
title = {Character sums to prime power moduli evaluated at binary quadratic forms},
author = {Stephan Baier and Aishik Chattopadhyay},
journal= {arXiv preprint arXiv:2508.11231},
year = {2026}
}
Comments
15 pages