Zeta functions and Eisenstein series on metaplectic groups

DOI10.1007/BF01884289zbMath0918.11028OpenAlexW2078243094MaRDI QIDQ1895696

Goro Shimura

Publication date: 23 August 1999

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144290

zbMATH Keywords

automorphic formsgamma factorsFourier coefficientsmeromorphic continuationzeta functionsliftsEuler productmetaplectic groupsEisenstein series of half-integral weight

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Other groups and their modular and automorphic forms (several variables) (11F55) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (7)

Convergence of zeta functions on symplectic and metaplectic groups ⋮ Algebraicity of metaplectic \(L\)-functions ⋮ p‐adic L‐functions on metaplectic groups ⋮ Zeta functions and Eisenstein series on classical groups ⋮ On special \(L\)-values attached to metaplectic modular forms ⋮ The \(p\)-adic \(L\)-function for half-integral weight modular forms ⋮ On the Rankin–Selberg method for vector-valued Siegel modular forms

Cites Work

• Unnamed Item
• On Eisenstein series
• On Eisenstein series of half-integral weight
• Nearly holomorphic functions on Hermitian symmetric spaces
• On Hilbert modular forms of half-integral weight
• The special values of the zeta functions associated with Hilbert modular forms
• Spatial intermittency in the classical two-dimensional and geostrophic turbulence
• Euler products and Fourier coefficients of automorphic forms on symplectic groups
• Differential operators, holomorphic projection, and singular forms
• Eisenstein series and zeta functions on symplectic groups
• On modular forms of half integral weight
• Poles and residues of Eisenstein series for symplectic and unitary groups
• On the Transformation Formulas of Theta Series

This page was built for publication: Zeta functions and Eisenstein series on metaplectic groups