Mean value of the Hecke series associated with the cusp forms of weight zero

DOI10.1007/BF01087243zbMath0534.10022MaRDI QIDQ790153

N. V. Kuznetsov

Publication date: 1984

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

zbMATH Keywords

Dirichlet seriesHecke seriesmean valueapproximate functional equationnon-analytic cusp formssum formulae of Kloosterman sums

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11) Estimates on character sums (11L40)

Related Items (1)

On the zeros of Maass wave form 𝐿-functions

Cites Work

• Beiträge zur Theorie der Dirichletreihen, die Spitzenformen zugeordnet sind
• Fourier coefficients of cusp forms
• Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. II
• The Fourth Power Moment of the Riemann Zeta Function
• On Epstein's Zeta-function.
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