The maximum size of $L$-functions
Number Theory
2007-05-23 v3
Abstract
We conjecture the true rate of growth of the maximum size of the Riemann zeta function and other -functions. We support our conjecture using arguments from random matrix theory, conjectures for moments of -functions, and also by assuming a random model for the primes.
Cite
@article{arxiv.math/0506218,
title = {The maximum size of $L$-functions},
author = {David W. Farmer and S. M. Gonek and C. P. Hughes},
journal= {arXiv preprint arXiv:math/0506218},
year = {2007}
}
Comments
Final version. To appear in Crelle