132 citations · 469 across the 54 of their papers we have counts for
6 papers · 1 filter
An effective universality theorem for the Riemann zeta-function
Youness Lamzouri, Stephen Lester, Maksym Radziwill
Let , and be a non-vanishing continuous function in , that is analytic in the interior. Voronin's universality theorem asserts that translates of the Rieman…
Maximum of the Riemann zeta function on a short interval of the critical line
Louis-Pierre Arguin, David Belius, Paul Bourgade +2
We prove the leading order of a conjecture by Fyodorov, Hiary and Keating, about the maximum of the Riemann zeta function on random intervals along the critical line. More precisel…
A quadratic divisor problem and moments of the Riemann zeta-function
Sandro Bettin, H. M. Bui, Xiannan Li +1
We estimate asymptotically the fourth moment of the Riemann zeta-function twisted by a Dirichlet polynomial of length . Our work relies crucially on Watt…
Limiting distribution of eigenvalues in the large sieve matrix
Florin P. Boca, Maksym Radziwiłł
The large sieve inequality is equivalent to the bound for the largest eigenvalue of the by matrix , naturally associated to the…
Quantum Unique Ergodicity for half-integral weight forms
Stephen Lester, Maksym Radziwiłł
We investigate the analogue of the Quantum Unique Ergodicity (QUE) conjecture for half-integral weight automorphic forms. Assuming the Generalized Riemann Hypothesis (GRH) we estab…
Small gaps in the spectrum of the rectangular billiard
Valentin Blomer, Jean Bourgain, Maksym Radziwiłł +1
We study the size of the minimal gap between the first N eigenvalues of the Laplacian on a rectangular billiard having irrational squared aspect ratio , in comparison to the cor…