On the zeros of the Ramanujan $\tau $-Dirichlet series in the critical strip

DOI10.1090/S0025-5718-96-00734-XzbMath0853.11099OpenAlexW1983056963MaRDI QIDQ4718411

Jerry B. Keiper

Publication date: 3 December 1996

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-96-00734-x

zbMATH Keywords

Riemann hypothesisL-functionsRamanujan conjectureRamanujan \(\tau \)-Dirichlet series

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Analytic computations (11Y35) Tables in numerical analysis (65A05)

Related Items (1)

Computing Special Values of MotivicL-Functions

Uses Software

• Mathematica

Cites Work

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• On calculations of zeros of various \(L\)-functions
• On Zeros of Mellin Transforms of SL 2 ( Z ) Cusp Forms
• A new asymptotic representation for ζ(½ + i t ) and quantum spectral determinants
• Power Series Expansions of Riemann's ζ Function
• On the Distribution of Spacings Between Zeros of the Zeta Function
• Calculation of the Ramanujan τ-Dirichlet Series

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