Author

Jesse Thorner

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Open access Aug 2024

Zeros of L-functions and large partial sums of Dirichlet coefficients

Let L(s,π)=∑n=1∞λπ(n)n-s\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L(s,\pi )=\sum _{n=1}^{\infty }\lambda _{\pi }(n)n^{-s}$$\end{docu...

Bryce Kerr, O. Klurman, Jesse Thorner · Mathematische Annalen · 1 citation

Preprint Aug 2026

Power sums and Siegel-type zero-free regions for L-functions

Let $\pi$ and $\pi'$ be unitary cuspidal automorphic representations of $\mathrm{GL}(n)$ and $\mathrm{GL}(n')$ over a number field $F$. Let $\mathfrak{C}_{\pi}$ be the analytic conductor of $\pi$. We develop a new approach to zero-free regions for $L$-functions via lower bounds for power sums, proving for all $\varepsi...

Jesse Thorner · 0 citations