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

collaborators

Showing 2022Show all

3 papers · 1 filter

math.NT2022★ 2 cited

An explicit version of Bombieri's log-free density estimate and Sárközy's theorem for shifted primes

Jesse Thorner, Asif Zaman

We make explicit Bombieri's refinement of Gallagher's log-free "large sieve density estimate near $σ = 1$ " for Dirichlet $L$ -functions. We use this estimate and recent work of Green…

math.NT2022★ 1 cited

Highly Uniform Prime Number Theorems

Ikuya Kaneko, Jesse Thorner

We prove a highly uniform version of the prime number theorem for a certain class of $L$ -functions. The range of $x$ depends polynomially on the analytic conductor, and the error t…

math.NT2022

Effective quantum unique ergodicity for Hecke-Maass newforms and Landau-Siegel zeros

Jesse Thorner

We show that Landau-Siegel zeros for Dirichlet $L$ -functions do not exist or quantum unique ergodicity for $GL_{2}$ Hecke-Maass newforms holds with an effective rate of conv…