Robin's criterion on divisibility

DOI10.1007/s11139-022-00574-4OpenAlexW4225304578MaRDI QIDQ2084547

Frank Vega

Publication date: 18 October 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-022-00574-4

zbMATH Keywords

Riemann zeta functionRiemann hypothesisprime numberssum-of-divisors functionRobin inequality

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Arithmetic functions; related numbers; inversion formulas (11A25) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Primes (11A41)

Cites Work

• Unnamed Item
• On Robin's criterion for the Riemann hypothesis
• Grandes valeurs de la fonction somme des diviseurs et hypothèse de Riemann
• Approximate formulas for some functions of prime numbers
• Superabundant Numbers and the Riemann Hypothesis
• The 𝑘^{𝑡ℎ} prime is greater than 𝑘(ln𝑘+lnln𝑘-1) for 𝑘≥2
• Robin's inequality for 20-free integers
• Robin's inequality for new families of integers
• On Highly Composite and Similar Numbers

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