Subconvexity for the Riemann zeta-function and the divisor problem

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dc.creatorHuxley, M. N.
dc.creatorIvić, A.
dc.date2006-11-27
dc.date2007-09-18
dc.date.accessioned2026-07-07T08:30:12Z
dc.date.available2026-07-07T08:30:12Z
dc.descriptionA simple proof of the classical subconvexity bound $ζ(1/2+it) \ll_εt^{1/6+ε}$ for the Riemann zeta-function is given, and estimation by more refined techniques is discussed. The connections between the Dirichlet divisor problem and the mean square of $|ζ(1/2+it)|$ are analysed.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0611809
dc.identifierhttp://arxiv.org/abs/math/0611809
dc.identifierBulletin CXXXIV de l'Académie Serbe des Sciences et des Arts - 2007, Classe des Sciences mathématiques et naturelles, Sciences mathématiques No. 32, pp. 13-32
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138181
dc.subjectNumber Theory
dc.subject11M06, 11N37
dc.titleSubconvexity for the Riemann zeta-function and the divisor problem
dc.typetext

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