Conditional upper bounds on the least character non-residue

Aritro Pathak

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arXiv · 2405.13316

Conditional upper bounds on the least character non-residue

Aritro Pathak

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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 $\sigma=1$ 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.

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Aritro Pathak. 2024-05-22. Conditional upper bounds on the least character non-residue. https://arxiv.org/abs/2405.13316

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