The weak Gram law for Hecke \(L\)-functions

DOI10.1007/s11139-022-00638-5OpenAlexW4304807374MaRDI QIDQ2696316

Sebastian Weishäupl

Publication date: 11 April 2023

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

Full work available at URL: https://arxiv.org/abs/2201.08898

zbMATH Keywords

Hecke \(L\)-functionsHecke eigenformsGram pointsGram's law

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Cites Work

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• Atkinson's formula for Hardy's function
• The Riemann zeta-function. Transl. from the Russian by Neal Koblitz
• La conjecture de Weil. I
• On the integral of Hardy's function
• On the success and failure of Gram's Law and the Rosser Rule
• The Theory of Hardy's Z-Function
• The Approximate Functional Equation of Hecke's Dirichlet Series
• On the integral of Hardy's function $ Z(t)$
• ON THE APPROXIMATE FUNCTIONAL EQUATION FOR ζ²(s) AND OTHER DIRICHLET SERIES
• ON VAN DER CORPUT'S METHOD AND THE ZETA-FUNCTION OF RIEMANN (IV)
• Average of Hardy’s function at Gram points

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