The mean square of Dirichlet series associated with automorphic forms

DOI10.1007/BF01303063zbMath0773.11033OpenAlexW2024358196MaRDI QIDQ1207684

S. Singh

Publication date: 12 May 1993

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178557

zbMATH Keywords

functional equationRiemann zeta-functionDirichlet seriesmean square estimatesEpstein zeta-functionsreal analytic automorphic formsextension of Hecke-Maaß correspondenceIngham's fourth power moment estimateSiegel zeta-functions

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Other Dirichlet series and zeta functions (11M41) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

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Cites Work

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• Indefinite quadratische Formen und Funktionentheorie. I
• Indefinite quadratische Formen und Funktionentheorie. II
• Die Differentialgleichungen in der Theorie der elliptischen Modulfunktionen. (The differential equations in the theory of elliptic modular functions)
• The mean square of the Dedekind zeta function in quadratic number fields