36 citations · 318 across the 41 of their papers we have counts for
5 papers · 1 filter
Refinements to the prime number theorem for arithmetic progressions
Jesse Thorner, Asif Zaman
We prove a version of the prime number theorem for arithmetic progressions that is uniform enough to deduce the Siegel-Walfisz theorem, Hoheisel's asymptotic for intervals of lengt…
Short-interval sector problems for CM elliptic curves
Apoorva Panidapu, Jesse Thorner
Let be an elliptic curve that has complex multiplication (CM) by an imaginary quadratic field . For a prime , there exists such that $p+1-\#E(…
A Bombieri-Vinogradov theorem for higher rank groups
Yujiao Jiang, Guangshi Lü, Jesse Thorner +1
We establish a result of Bombieri-Vinogradov type for the Dirichlet coefficients at prime ideals of the standard -function associated to a self-dual cuspidal automorphic represe…
A zero density estimate and fractional imaginary parts of zeros for -functions
Olivia Beckwith, Di Liu, Jesse Thorner +1
We prove an analogue of Selberg's zero density estimate for that holds for any -function. We use this estimate to study the distribution of the vector of…
Zeros of Rankin-Selberg -functions in families
Peter Humphries, Jesse Thorner
Let be the set of all cuspidal automorphic representations of with unitary central character over a number field . We prove the first uncond…