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The maximum size of L-functions

Farmer, D.W., Gonek, S.M. and Hughes, C.P. (2007) The maximum size of L-functions. Journal für die reine und angewandte Mathematik (Crelle's Journal), 609. pp. 215-236. ISSN 1435-5345

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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.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 09 Feb 2009 12:24
Last Modified: 10 Feb 2009 16:13
Published Version: http://dx.doi.org/10.1515/CRELLE.2007.064
Status: Published
Publisher: Walter de Gruyter GmbH & Co. KG
Identification Number: 10.1515/CRELLE.2007.064
URI: http://eprints.whiterose.ac.uk/id/eprint/7665

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