Jesse Thorner

activity

20182020

collaborators

5 papers

math.NT2020

Zeros of $GL_{2}$ $L$ -functions on the critical line

Nickolas Andersen, Jesse Thorner

We use Levinson's method and the work of Blomer and Harcos on the $GL_{2}$ shifted convolution problem to prove that at least 6.96% of the zeros of the L-function of any hol…

math.NT2020

Effective forms of the Sato--Tate conjecture

Jesse Thorner

We prove effective forms of the Sato-Tate conjecture for holomorphic cuspidal newforms which improve on the author's previous work (solo and joint with Lemke Oliver). We also prove…

math.NT2019

An unconditional $GL (n)$ large sieve

Jesse Thorner, Asif Zaman

Let $F_{n}$ be the set of all cuspidal automorphic representations $π$ of $GL_{n}$ over a number field with unitary central character. We prove two unconditional la…

math.NT2018

Weak subconvexity without a Ramanujan hypothesis

Kannan Soundararajan, Jesse Thorner

We describe a new method to obtain weak subconvexity bounds for $L$ -functions with mild hypotheses on the size of the Dirichlet coefficients. We verify these hypotheses for all aut…

math.NT2018

A unified and improved Chebotarev density theorem