Level stripping for vector-valued Siegel modular forms of genus 2

DOI10.7169/facm/2016.54.2.8zbMath1407.11064OpenAlexW2465224546MaRDI QIDQ1744952

Rodney Keaton

Publication date: 20 April 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1466450670

zbMATH Keywords

Galois representationsSiegel modular formscongruence of modular forms

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) Galois representations (11F80)

Cites Work

• Introduction to Siegel modular forms and Dirichlet series
• Serre's modularity conjecture. I
• Serre's modularity conjecture. II
• Vector valued Siegel's modular forms of degree two and the associated Andrianov \(L\)-functions
• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• On Siegel eigenforms
• Newforms and functional equations
• Level stripping for Siegel modular forms with reducible Galois representations
• On algebraicity of vector valued Siegel modular forms
• Vector-valued \(p\)-adic Siegel modular forms
• On the Hecke operator \(U(p)\) (with an appendix by Ralf Schmidt)
• Level stripping for degree 2 Siegel modular forms
• Congruences for Fourier coefficients of lifted Siegel modular forms. I: Eisenstein lifts
• Siegel Modular Forms and Their Applications
• On p-adic Siegel modular forms of non-real Nebentypus
• SUR LES DÉFORMATIONS p-ADIQUES DE CERTAINES REPRÉSENTATIONS AUTOMORPHES
• Existence of Whittaker models related to four dimensional symplectic Galois representations
• Formes modulaires de poids $1$
• On diagonalization of singular Frobenius operators on Siegel modular forms
• Conjecture de type de Serre et formes compagnons pour GSp4
• On p-Adic Properties of Siegel Modular Forms
• On classical and \(\ell\)-adic modular forms of levels \(N\ell^m\) and \(N\)
• On functional equations satisfied by spinor Euler products for Siegel modular forms of genus 2 with characters
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