Some observations concerning the distribution of the zeros of the zeta functions. III

DOI10.3792/PJAA.68.105zbMath0768.11031OpenAlexW2020770802MaRDI QIDQ1201491

Akio Fujii

Publication date: 17 January 1993

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.68.105

zbMATH Keywords

Riemann zeta-functionasymptotic formulaGeneralized Riemann Hypothesisdistribution of zerosRiemann-von Mangoldt formulaDirichlet \(L\)- functionsexponential sums over zeros of zeta 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)

Related Items (3)

The generalized Riemann hypothesis from zeros of the zeta function ⋮ A RELATION BETWEEN THE ZEROS OF TWO DIFFERENT L-FUNCTIONS WHICH HAVE AN EULER PRODUCT AND FUNCTIONAL EQUATION ⋮ On the distribution (mod 1) of the normalized zeros of the Riemann zeta-function

Cites Work

• Mean values of the Riemann zeta-function and its derivatives
• Zeta zeros and Dirichlet L-functions. II
• The connection between the zeros of the \(\zeta\)-function and sequences \((g(p))\), \(p\) prime, mod 1
• More than one third of zeros of Riemann's zeta-function are on \(\sigma=1/2\)
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