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The values of the Riemann zeta-function on generalized arithmetic progressions

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Publication:1710701
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DOI10.1007/s00013-018-1254-1zbMath1473.11164OpenAlexW2897777776MaRDI QIDQ1710701

Selin Selen Özbek, Jörn Steuding

Publication date: 23 January 2019

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-018-1254-1


zbMATH Keywords

nontrivial zerosRiemann zeta-functionvalue-distribution


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)





Cites Work

  • Arithmetic progressions of zeros of the Riemann zeta function
  • Disproof of the Mertens conjecture.
  • NONZERO VALUES OF DIRICHLET L-FUNCTIONS IN VERTICAL ARITHMETIC PROGRESSIONS
  • The Riemann Zeta Function on Vertical Arithmetic Progressions
  • The Riemann Zeta Function on Arithmetic Progressions
  • On the Non-Periodicity of the Zeros of the Riemann Zeta-Function
  • Remarks on Periodic Sequences and the Riemann Zeta-Function
  • On Two Conjectures in the Theory of Numbers
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