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arXiv · 2609.11855

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

Peter Koymans·Carlo Pagano·Mark Shusterman
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Abstract

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

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Peter Koymans, Carlo Pagano, Mark Shusterman. 2026-09-10. Chowla's non-vanishing conjecture over $\mathbb{F}_q(T)$. https://arxiv.org/abs/2609.11855

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