Conditional upper bounds on the least character non-residue
Number Theory
2026-03-17 v2
Abstract
We extend known methods to establish upper bounds on the least character non-residues contingent on different zero-free regions within the critical strip, in particular on bounded rectangles within the critical strip along the line at arbitrary heights. This relates to earlier conditional results on least character non-residues, and recent results of Granville and Soundararajan on character sums.
Keywords
Cite
@article{arxiv.2405.13316,
title = {Conditional upper bounds on the least character non-residue},
author = {Aritro Pathak},
journal= {arXiv preprint arXiv:2405.13316},
year = {2026}
}