Proportion of distinct zeros of a Dirichlet \(L\)-series

DOI10.1007/S10473-022-0610-1OpenAlexW4293561580MaRDI QIDQ2080978

Xiaosheng Wu, Xinhua Qin

Publication date: 12 October 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-022-0610-1

zbMATH Keywords

Dirichlet \(L\)-functionsimple zerosdistinct zeros

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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• Counting distinct zeros of the Riemann zeta-function
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• The twisted mean square and critical zeros of Dirichlet \(L\)-functions
• Critical zeros of Dirichlet L-functions
• Distinct Zeros and Simple Zeros for the Family of DirichletL-Functions
• More than 41% of the zeros of the zeta function are on the critical line
• More than two fifths of the zeros of the Riemann zeta function are on the critical line.
• Simple Zeros of the Riemann Zeta-Function on the Critical Line
• Zeros of Dirichlet L-series on the critical line
• DISTINCT ZEROS OF THE RIEMANN ZETA-FUNCTION

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