Rankin-Selberg method for real analytic cusp forms of arbitrary real weight

DOI10.1007/BF02571424zbMath0738.11042OpenAlexW2089393953MaRDI QIDQ811562

Roland Matthes

Publication date: 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174437

zbMATH Keywords

meromorphic continuationmultiplier systemRankin-Selberg zeta functionsreal-analytic cusp form

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Automorphic forms, one variable (11F12) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (7)

A reduction of the remainder term in the prime geodesic theorem for the theta case ⋮ On the theta-multiplier system ⋮ The least prime number represented by a binary quadratic form ⋮ RANKIN–SELBERG CONVOLUTIONS OF NONCUSPIDAL HALF-INTEGRAL WEIGHT MAASS FORMS IN THE PLUS SPACE ⋮ Quantum unique ergodicity for half-integral weight automorphic forms ⋮ The Saito–Kurokawa lift and Siegel’s theta series ⋮ A NOTE ON THE SAITO-KUROKAWA LIFT FOR HERMITIAN FORMS

Cites Work

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• Beiträge zur Theorie der Dirichletreihen, die Spitzenformen zugeordnet sind
• Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
• The special functions and their approximations. Vol. I, II
• Lectures on modular functions of one complex variable
• Ein Satz über ganzwertige Funktionen als Prinzip für Transzendenzbeweise
• Prime geodesic theorem.

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