The maximum size of $L$-functions

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dc.creatorFarmer, David W.
dc.creatorGonek, S. M.
dc.creatorHughes, C. P.
dc.date2005-06-11
dc.date2006-08-03
dc.date.accessioned2026-07-07T06:40:15Z
dc.date.available2026-07-07T06:40:15Z
dc.descriptionWe 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.
dc.descriptionFinal version. To appear in Crelle
dc.identifierhttps://arxiv.org/abs/math/0506218
dc.identifierhttp://arxiv.org/abs/math/0506218
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101348
dc.subjectNumber Theory
dc.subject11M26
dc.titleThe maximum size of $L$-functions
dc.typetext

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