Analogues of the Robin–Lagarias criteria for the Riemann hypothesis

DOI10.1142/S1793042121500111zbMath1472.11236arXiv2008.04787OpenAlexW3048920379MaRDI QIDQ4992584

Ambrose Yang, Lawrence C. Washington

Publication date: 9 June 2021

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.04787

zbMATH Keywords

Riemann hypothesissum of divisorscolossally abundant numbers

Mathematics Subject Classification ID

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

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ON THE p-FREE ROBIN INEQUALITIES FOR p = 3, 5, 7 ⋮ AN ANALOGUE OF THE ROBIN INEQUALITY OF THE SECOND TYPE FOR ODD INTEGERS

Cites Work

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• Approximate formulas for some functions of prime numbers
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• Abundant Numbers and the Riemann Hypothesis
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x)
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II
• An Elementary Problem Equivalent to the Riemann Hypothesis
• Robin's inequality for 20-free integers
• Equivalents of the Riemann Hypothesis
• On Highly Composite and Similar Numbers

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