Notes on the Riemann \(\zeta\)-function. II

DOI10.1006/aima.1998.1797zbMath0937.11032OpenAlexW2484669291MaRDI QIDQ1290944

Michel Balazard, Marc Yor, Eric Saias

Publication date: 6 October 1999

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

Full work available at URL: https://doi.org/10.1006/aima.1998.1797

zbMATH Keywords

Riemann zeta-functionRiemann hypothesisJensen's formulaHardy's space

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items (15)

On equalities involving integrals of the logarithm of the Riemann \(\varsigma\)-function with exponential weight which are equivalent to the Riemann hypothesis ⋮ Some simplest integral equalities equivalent to the Riemann hypothesis ⋮ On equalities involving integrals of the logarithm of the Riemann \(\zeta\)-function and equivalent to the Riemann hypothesis ⋮ On logarithmic integrals of the Riemann zeta-function and an approach to the Riemann hypothesis by a geometric mean with respect to an ergodic transformation ⋮ On relations equivalent to the generalized Riemann hypothesis for the Selberg class ⋮ An adelic causality problem related to abelian \(L\)-functions. ⋮ On Balazard, Saias, and Yor's equivalence to the Riemann hypothesis ⋮ Generalized Bombieri-Lagarias' theorem and generalized Li's criterion with its arithmetic interpretation ⋮ Fourier transform associated with Riemann zeta function ⋮ On good universality and the Riemann hypothesis ⋮ New results concerning power series expansions of the Riemann xi function and the Li/Keiper constants ⋮ A HIDDEN SYMMETRY RELATED TO THE RIEMANN HYPOTHESIS WITH THE PRIMES INTO THE CRITICAL STRIP ⋮ Fourier expansion of the Riemann zeta function and applications ⋮ Computational strategies for the Riemann zeta function ⋮ A characterization of the zero-free region of the Riemann zeta function and its applications

Cites Work

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• A real variable restatement of Riemann's hypothesis
• On an equality equivalent to the Riemann hypothesis
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• A note on the Riemann zeta-function

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