36 citations · 318 across the 41 of their papers we have counts for
5 papers · 1 filter
An approximate form of Artin's holomorphy conjecture and non-vanishing of Artin -functions
Robert J. Lemke Oliver, Jesse Thorner, Asif Zaman
Let be a number field and be a finite group. Let be the family of number fields with absolute discriminant at most such that i…
Zeros of -functions on the critical line
Nickolas Andersen, Jesse Thorner
We use Levinson's method and the work of Blomer and Harcos on the shifted convolution problem to prove that at least 6.96% of the zeros of the L-function of any hol…
Towards a variant of the Hoheisel phenomenon
Peter Humphries, Jesse Thorner
Let be a unitary cuspidal automorphic representation of over a number field, and let be contragredient to . We prove effective upper and lower boun…
Almost all primes satisfy the Atkin-Serre conjecture and are not extremal
Ayla Gafni, Jesse Thorner, Peng-Jie Wong
Let be a non-CM holomorphic cupsidal newform of trivial nebentypus and even integral level . Deligne's proof of the Weil conje…
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…