Geometric sequences and zero-free region of the zeta function

DOI10.1016/j.crma.2017.11.021zbMath1388.11064OpenAlexW2782288097MaRDI QIDQ1701499

Jongho Yang

Publication date: 26 February 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2017.11.021

zbMATH Keywords

Riemann zeta-functionzero-free regionsBaez-Duarte zero-free regionlinear space of functions

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

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• The Möbius function is strongly orthogonal to nilsequences
• A note on Nyman-Beurling's approach to the Riemann hypothesis
• A real variable restatement of Riemann's hypothesis
• On Beurling's real variable reformulation of the Riemann Hypothesis
• The Nyman-Beurling equivalent form for the Riemann hypothesis
• Disproof of the Mertens conjecture.
• Oscillatory properties of $M(x) = \sum_{n≤x} μ(n)$, III
• The distribution of the summatory function of the Möbius function
• A CLOSURE PROBLEM RELATED TO THE RIEMANN ZETA-FUNCTION

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