On convolutions of non-holomorphic Eisenstein series

DOI10.1016/0001-8708(81)90002-5zbMath0458.10022OpenAlexW2045473739MaRDI QIDQ1151424

Dorian Goldfeld

Publication date: 1981

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(81)90002-5

zbMATH Keywords

Eisenstein seriescongruence subgroupmeromorphic continuationDirichlet characterarithmetically defined Dirichlet seriesspectrum of Laplace operator

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)

Related Items

Averaging over moduli in deformed WZW models, Non-random behavior in sums of modular symbols, On the Topography of Maass Waveforms for PSL(2, Z)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
• Über eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen. (On a new type of nonanalytic automorphic functions and the determination of Dirichlet series by functional equations)