Chowla's non-vanishing conjecture over $\mathbb{F}_q(T)$

Peter Koymans, Carlo Pagano, Mark Shusterman

Source record

Source: arXiv

Published: Sep 10, 2026

arXiv: 2609.11855

Open original source ↗

Source abstract

Let $q \equiv 1 \bmod 8$ be a prime power. We prove that $L\left(\tfrac{1}{2}, χ\right) \neq 0$ for 100% of the imaginary quadratic Dirichlet characters of $\mathbb{F}_q(T)$ .

Evidence graph

No public relationships recorded yet.

Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.