A modified Riemann zeta distribution in the critical strip

DOI10.1090/S0002-9939-2014-12279-9zbMath1355.60025OpenAlexW2024862338MaRDI QIDQ5496330

Takashi Nakamura

Publication date: 30 January 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-12279-9

zbMATH Keywords

infinite divisibilityzeros of zeta functionscharacteristics function

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10) (zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (4)

The measure transition problem for meromorphic polar functions ⋮ Zeros of polynomials of derivatives of zeta functions ⋮ A complete Riemann zeta distribution and the Riemann hypothesis ⋮ Tauberian theorems for Lambert and zeta summability methods in fuzzy number space

Cites Work

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• On a result of G. Pólya concerning the Riemann \(\xi\)-function
• Value distribution of \(L\)-functions
• Über die Werteverteilung der Riemannschen Zetafunktion. II. Mitt.: Das Verhalten der Funktion im Streifen \({1\over 2}<\sigma\leq 1\)
• On a two-variable zeta function for number fields.
• The Riemann hypothesis for certain integrals of Eisenstein series
• Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions
• Distribution Functions and the Riemann Zeta Function
• ON THE RIEMANN ZETA FUNCTION
• The Riemann zeta distribution
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