One Hundred Years Uniform Distribution Modulo One and Recent Applications to Riemann’s Zeta-Function

DOI10.1007/978-3-319-06554-0_30zbMath1331.11060OpenAlexW1938027880MaRDI QIDQ2945449

Jörn Steuding

Publication date: 11 September 2015

Published in: Topics in Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-06554-0_30

zbMATH Keywords

zerosRiemann zeta-functionuniform distribution modulo one\(a\)-points

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) General theory of distribution modulo (1) (11K06)

Related Items (8)

On the vertical distribution of values of L-functions in the Selberg class ⋮ Dirichlet series with periodic coefficients and their value-distribution near the critical line ⋮ On the \(a\)-points of derivatives of the Riemann zeta function ⋮ On the uniform distribution of zero ordinates of Epstein zeta-functions ⋮ Explicit formulae and discrepancy estimates for \(a\)-points of the Riemann zeta-function ⋮ Riemann-type functional equations. Julia line and counting formulae ⋮ Generalized Riemann hypothesis, time series and normal distributions ⋮ On the distribution of the \(a\)-points of a Selberg class \(L\)-function modulo one

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