Jesse Thorner

collaborators

8 papers

math.NT2026

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

Jesse Thorner

Let $π$ and $π^{'}$ be unitary cuspidal automorphic representations of $GL (n)$ and $GL (n^{'})$ over a number field $F$ . Let $C_{π}$ be the analytic conductor o…

math.NT2026

Tatuzawa's theorem for Rankin-Selberg $L$ -functions

Gergely Harcos, Jesse Thorner

Let $I ¨ $ and $I ¨ ^{'}$ be unitary cuspidal automorphic representations of $GL (n)$ and $GL (n^{'})$ over a number field $F$ . We establish a new zero-free region for all $\…

math.NT2026

Exceptional zeros of $GL_{3} \times GL_{3}$ Rankin-Selberg $L$ -functions

Jesse Thorner

Let $I ¨ $ be an idele class character over a number field $F$ , and let $I ¨ , I ¨ ^{'}$ be any two cuspidal automorphic representations of $GL_{2} (A_{F})$ . We prove that the R…

math.NT2025

Large sieves for $GL_{n}$ and applications

Alexandru Pascadi, Jesse Thorner

Let $F_{n}$ be the set of unitary cuspidal automorphic representations of $GL_{n}$ over a number field $F$ , and let $S \subseteq F_{n}$ be an arbitrary finit…

math.NT2025

A new bound on the relative error in the Chebotarev density theorem

Jesse Thorner, Zhuo Zhang

We unconditionally improve the uniformity in the Chebotarev density theorem for Galois extensions of number fields using nonabelian base change. This leads to the first theoretical…

math.NT2025

Exceptional zeros of Rankin-Selberg $L$ -functions and joint Sato-Tate distributions

Jesse Thorner

Let $I ¨ $ be an idele class character over a number field $F$ , and let $I ¨ , I ¨ ^{'}$ be non-dihedral twist-inequivalent cuspidal automorphic representations of $\mathrm{GL}_2(\mathbb{A}_…

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

Tatuzawa's theorem for Rankin-Selberg L-functions

Exceptional zeros of GL3​×GL3​ Rankin-Selberg L-functions

Large sieves for GLn​ and applications

A new bound on the relative error in the Chebotarev density theorem

Exceptional zeros of Rankin-Selberg L-functions and joint Sato-Tate distributions

Tatuzawa's theorem for Rankin-Selberg $L$ -functions

Exceptional zeros of $GL_{3} \times GL_{3}$ Rankin-Selberg $L$ -functions

Large sieves for $GL_{n}$ and applications

Exceptional zeros of Rankin-Selberg $L$ -functions and joint Sato-Tate distributions