Jesse Thorner

activity

20132026

most citedBounded Gaps Between Primes in Chebotarev Sets

36 citations · 318 across the 41 of their papers we have counts for

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Showing 2024 · math.NTShow all

4 papers · 2 filters

math.NT2024

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.NT2024

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

Bryce Kerr, Oleksiy Klurman, Jesse Thorner

Let $L (s, π) = \sum_{n = 1}^{\infty} λ_{π} (n) n^{- s}$ be an $L$ -function that satisfies a weak form of the generalized Ramanujan conjecture. We prove that large partial sums of $λ_{π} (n)$ str…

math.NT2024

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

Jesse Thorner

Let $χ$ be an idele class character over a number field $F$ , and let $π, π^{'}$ be non-dihedral twist-inequivalent cuspidal automorphic representations of $GL_{2} (A_{F})$ …

math.NT2024★ 1 cited

New variants of arithmetic quantum ergodicity

Peter Humphries, Jesse Thorner

We establish two new variants of arithmetic quantum ergodicity. The first is for self-dual $GL_{2}$ Hecke-Maass newforms over $Q$ as the level and Laplace eigenvalu…

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

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

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

New variants of arithmetic quantum ergodicity

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

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