Real analytic Eisenstein series for the Jacobi group

DOI10.1007/BF02941053zbMath0721.11021MaRDI QIDQ2640639

Tsuneo Arakawa

Publication date: 1990

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

functional equationJacobi groupmeromorphic continuationreal analytic Eisenstein series

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (14)

The continuous part of \(L^ 2(\Gamma ^ J\backslash G^ J)\) for the Jacobi group \(G^ J\) ⋮ KERNEL FUNCTIONS OF THE TWISTED SYMMETRIC SQUARE OF ELLIPTIC MODULAR FORMS ⋮ Poincaré square series of small weight ⋮ Quotients of L-functions ⋮ ANALYTIC PROPERTIES OF EISENSTEIN SERIES AND STANDARD -FUNCTIONS ⋮ Dirichlet series of two variables, real analytic Jacobi-Eisenstein series of matrix index, and Katok-Sarnak type result ⋮ Periods of Jacobi forms and the Hecke operator ⋮ Kronecker limit formulas for parabolic, hyperbolic and elliptic Eisenstein series via Borcherds products ⋮ On Eisenstein series for the Hermitian modular groups and the Jacobi groups ⋮ Jacobi Maaß forms ⋮ The skew-Maass lift. I: The case of harmonic Maass-Jacobi forms ⋮ Functional equations of real analytic Jacobi Eisenstein series ⋮ Spectral decomposition of the cubic Casimir operator associated with Jacobi group ⋮ Selberg zeta functions associated with a theta multiplier system of \(\mathrm{SL}_2(\mathbb Z)\) and Jacobi forms

Cites Work

• The theory of Jacobi forms
• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• Selberg zeta functions associated with a theta multiplier system of \(\mathrm{SL}_2(\mathbb Z)\) and Jacobi forms
• An approach to the Selberg trace formula via the Selberg zeta-function
• On automorphic forms for the Jacobi group
• Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
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