On Zeros of Mellin Transforms of SL 2 ( Z ) Cusp Forms

DOI10.2307/2007577zbMath0532.10016OpenAlexW2030617881MaRDI QIDQ3313934

R. D. Major, K. E. Powell, H. G. Throolin, Helaman R. P. Ferguson

Publication date: 1984

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

Full work available at URL: https://doi.org/10.2307/2007577

zbMATH Keywords

critical lineexplicit computationszeros of Mellin transformsinfinitely many zeroseigenforms of Hecke operatorsmodular cusp formsHasse-Weil L-functionsalgebraic Fourier coefficients of cusp eigenforms

Mathematics Subject Classification ID

Galois cohomology (11S25) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11) Tables in numerical analysis (65A05)

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