On the asymptotic behaviour of Franel's sum and the Riemann hypothesis

DOI10.1007/BF03323094zbMath0758.11011MaRDI QIDQ1193238

Ken-ichi Sato, Miklós Mikolás

Publication date: 27 September 1992

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Riemann hypothesisFarey seriesasymptotic behaviour of Franel's sum

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Farey sequences; the sequences (1^k, 2^k, dots) (11B57)

Cites Work

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• Some new aspects and analytic technical applications of diophantine approximations
• An elementary proof of the prime-number theorem
• Disproof of the Mertens conjecture.
• The Riemann Hypothesis and Pseudorandom Features of the Mobius Sequence
• On a New Method in Elementary Number Theory Which Leads to An Elementary Proof of the Prime Number Theorem

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