Equivalents of the Riemann Hypothesis

DOI10.1017/9781108178228zbMath1427.11001OpenAlexW2766211314MaRDI QIDQ5364294

Kevin A. Broughan

Publication date: 4 October 2017

Full work available at URL: https://doi.org/10.1017/9781108178228

zbMATH Keywords

Riemann hypothesisarithmetic functionscriteriaRobin's criterion

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Distribution of integers with specified multiplicative constraints (11N25) Distribution of primes (11N05)

Related Items (11)

The sum of divisors function and the Riemann hypothesis ⋮ A NOTE ON AN EQUIVALENT OF THE RIEMANN HYPOTHESIS ⋮ THE DE BRUIJN–NEWMAN CONSTANT IS NON-NEGATIVE ⋮ Calculation of the values of the Riemann zeta function via values of its derivatives at a single point ⋮ Approaching the Riemann hypothesis using Salem's equivalence and inversion formulae of a Widder–Lambert-type transform ⋮ Towards non-iterative calculation of the zeros of the Riemann zeta function ⋮ An analogue of a formula for Chebotarev densities ⋮ Variations on criteria of Pólya and Turán for the Riemann hypothesis ⋮ The Riemann hypothesis in computer science ⋮ Analogues of the Robin–Lagarias criteria for the Riemann hypothesis ⋮ Ramanujan's theorem and highest abundant numbers

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