Robin's inequality and the Riemann hypothesis

DOI10.3792/pjaa.83.47zbMath1142.11064OpenAlexW2114088771MaRDI QIDQ2381157

Marek Wójtowicz

Publication date: 25 September 2007

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

Full work available at URL: https://projecteuclid.org/euclid.pja/1177941416

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Uses Software

• OEIS

Cites Work

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• Grandes valeurs de la fonction somme des diviseurs et hypothèse de Riemann
• Petites valeurs de la fonction d'Euler
• Approximate formulas for some functions of prime numbers
• On some problems of Mąkowski–Schinzel and Erdős concerning the arithmetical functions φ and σ
• Abundant Numbers and the Riemann Hypothesis
• An Elementary Problem Equivalent to the Riemann Hypothesis
• On the functions φ(n) and σ(n)
• On Highly Composite and Similar Numbers
• Prime numbers, sums of divisors and the Riemann Hypothesis
• An explicit sieve bound and small values of \(\sigma(\varphi(m))\)

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