Ramanujan-Hardy-Littlewood-Riesz phenomena for Hecke forms

DOI10.1016/j.jmaa.2015.01.066zbMath1383.11064OpenAlexW2072927674MaRDI QIDQ2515144

Alexandru Zaharescu, Atul Dixit, Arindam Roy

Publication date: 11 February 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.01.066

zbMATH Keywords

Möbius functionDirichlet serieshypergeometric functionBessel functionRamanujan tau functionHecke form

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items

Some identities involving convolutions of Dirichlet characters and the Möbius function ⋮ Riesz-type criteria for the Riemann hypothesis ⋮ A modular relation involving non-trivial zeros of the Dedekind zeta function, and the generalized Riemann hypothesis ⋮ On a class of functions that satisfies explicit formulae involving the Möbius function ⋮ Hardy-Littlewood-Riesz type equivalent criteria for the generalized Riemann hypothesis ⋮ Modular-type relations associated to the Rankin-Selberg \(L\)-function ⋮ An exact formula for a Lambert series associated to a cusp form and the Möbius function

Cites Work

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