The maximum size of $L$-functions

Abstract

We conjecture the true rate of growth of the maximum size of the Riemann zeta function and other $L$-functions. We support our conjecture using arguments from random matrix theory, conjectures for moments of $L$-functions, and also by assuming a random model for the primes.

Final version. To appear in Crelle

References in corpus (1)

• Extreme values of $|\zeta (1+it)|$