Simple zeros of the Ramanujan \(\tau\)-Dirichlet series

DOI10.1007/BF01394330zbMath0653.10038OpenAlexW2062248625MaRDI QIDQ1107571

John Brian Conrey, Amit Ghosh

Publication date: 1988

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143631

zbMATH Keywords

Mellin transformfunctional equationDirichlet seriescritical stripEuler productsimple zerosRamanujan's tau-function

Mathematics Subject Classification ID

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

Related Items (7)

Subconvexity for modular form \(L\)-functions in the \(t\) aspect ⋮ Simple zeros of modular L -functions ⋮ Unnamed Item ⋮ Simple zeros of automorphic -functions ⋮ SIMPLE ZEROS OF MAASS L-FUNCTIONS ⋮ On the zeros of approximations of the Ramanujan \(\Xi\)-function ⋮ QUANTITATIVE ESTIMATES FOR SIMPLE ZEROS OF ‐FUNCTIONS

Cites Work

• Simple zeros of the zeta function of a quadratic number field. I
• More than one third of zeros of Riemann's zeta-function are on \(\sigma=1/2\)
• La conjecture de Weil. I
• On some exponential sums connected with Ramanujan's τ‐function
• Simple Zeros of the Riemann Zeta-Function on the Critical Line
• Calculation of the Ramanujan τ-Dirichlet Series

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