The maximum size of $L$-functions

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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

Keywords

Number Theory, 11M26

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/101348

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506218
 http://arxiv.org/abs/math/0506218

Collections

arXiv