Congruences for Hecke eigenvalues of Siegel modular forms

DOI10.1007/s12188-012-0069-4zbMath1345.11031OpenAlexW2015405916MaRDI QIDQ1936553

Shin-ichiro Mizumoto, Hidenori Katsurada

Publication date: 6 February 2013

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

Full work available at URL: http://hdl.handle.net/2115/69756

zbMATH Keywords

congruencesSiegel modular formsHecke eigenvalues

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Congruences for modular and (p)-adic modular forms (11F33) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (7)

An explicit formula for the Siegel series of a quadratic form over a non-Archimedean local field ⋮ Ramanujan type congruences for modular forms of several variables ⋮ Harder's conjecture. I ⋮ Siegel modular forms of degree three and the cohomology of local systems ⋮ Ramanujan type congruences for the Klingen-Eisenstein series ⋮ Eisenstein congruences for split reductive groups ⋮ Computations of vector-valued Siegel modular forms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The theory of Jacobi forms
• Über die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen. II
• Über die Fourierkoeffizienten der Siegelschen Eisensteinreihen
• Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture
• Congruences for eigenvalues of Hecke operators on Siegel modular forms of degree two
• Stabile Modulformen und Eisensteinreihen. (Stable modular forms and Eisenstein series)
• A certain Dirichlet series attached to Siegel modular forms of degree two
• Congruences between Siegel modular forms of degree two
• On Siegel eigenforms
• On Eisenstein series for Siegel modular groups
• Congruences between Siegel modular forms of degree two. II
• The critical values of zeta functions associated to the symplectic group
• On Eisenstein series for Siegel modular groups. II
• On the functional equations satisfied by Eisenstein series
• Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two
• Eisenstein series for Siegel modular groups
• Explicit formulae of Siegel Eisenstein series
• Nearly holomorphic Eisenstein liftings
• Selmer groups and the Eisenstein-Klingen ideal.
• On integrality of Eisenstein liftings
• Convergence of zeta functions on symplectic and metaplectic groups
• Congruences for Fourier coefficients of lifted Siegel modular forms. II: The Ikeda lifts
• Congruence of Siegel modular forms and special values of their standard zeta functions
• Zum Darstellungssatz für Siegelsche Modulformen
• Congruences for Fourier coefficients of lifted Siegel modular forms. I: Eisenstein lifts
• Symmetric Square L-Functions and Shafarevich-Tate Groups
• Ikeda's conjecture on the period of the Duke–Imamoḡlu–Ikeda lift
• ON THE ANALYTIC PROPERTIES OF STANDARD ZETA FUNCTIONS OF SIEGEL MODULAR FORMS
• Dirichlet series in the theory of Siegel modular forms
• Exact Standard Zeta Values of Siegel Modular Forms
• Über Funktionalgleichungen automorpher L-Funktionen zur Siegelschen Modulgruppe.
• On Siegel Modular Forms of Degree Three
• Special values of zeta functions attached to Siegel modular forms
• Computations of Siegel Modular Forms of Genus Two
• NUMERICAL EXAMPLES OF SIEGEL CUSP FORMS OF DEGREEE 3 AND THEIR ZETA-FUNCTIONS
• An Explicit Formula for Siegel Series
• An explicit formula for the Fourier coefficients of Siegel-Eisenstein series of degree 3
• On Siegel modular forms part II
• Special values of triple product \(L\)-functions and nearly holomorphic Eisenstein series
• On the lifting of elliptic cusp forms to Siegel cusp forms of degree \(2n\)

This page was built for publication: Congruences for Hecke eigenvalues of Siegel modular forms