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
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.
Metadata
| Item Type: | Article |
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| Authors/Creators: |
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| Dates: |
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| Institution: | The University of York |
| Academic Units: | The University of York > Faculty of Sciences (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 |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:7665 |
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