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Licensed Unlicensed Requires Authentication Published by De Gruyter September 13, 2007

The maximum size of L-functions

  • David W Farmer EMAIL logo , S. M Gonek and C. P Hughes

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.

Received: 2005-08-23
Revised: 2006-08-03
Published Online: 2007-09-13
Published in Print: 2007-08-28

© Walter de Gruyter

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