The 4.36th Moment of the Riemann Zeta-Function

DOI10.1093/imrn/rnr183zbMath1290.11120arXiv1106.4806OpenAlexW2328789679MaRDI QIDQ3165339

Maksym Radziwiłł

Publication date: 26 October 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4806

zbMATH Keywords

Riemann zeta functionmomentmean valuecritical line

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (7)

Moments of the products of quadratic twists of automorphic \(L\)-functions ⋮ Higher integral moments of automorphic \(L\)-functions in short intervals ⋮ The mean square of the product of the Riemann zeta-function with Dirichlet polynomials ⋮ Lower bounds of discrete moments of the derivatives of the Riemann zeta-function on the critical line ⋮ Negative moments of the Riemann zeta-function ⋮ Upper bounds for the moments of derivatives of Dirichlet \(L\)-functions ⋮ Bounds for moments of cubic and quartic Dirichlet \(L\)-functions

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