Genus 2 paramodular Eisenstein congruences

DOI10.1007/s11139-017-9884-7zbMath1422.11102arXiv1603.07088OpenAlexW2527157405WikidataQ59614983 ScholiaQ59614983MaRDI QIDQ721845

Dan Fretwell

Publication date: 20 July 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.07088

zbMATH Keywords

automorphic formsnumber theoryEisenstein congruences

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Other groups and their modular and automorphic forms (several variables) (11F55) Congruences for modular and (p)-adic modular forms (11F33)

Related Items (2)

A geometric Jacquet-Langlands correspondence for paramodular Siegel threefolds ⋮ Paramodular groups and theta series

Uses Software

• MathOverflow

Cites Work

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• On Galois representations of weight one
• Ramanujan-style congruences of local origin
• Computations of vector-valued Siegel modular forms
• The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004
• On automorphic forms on the unitary symplectic group \(\mathrm{Sp}(n)\) and \(\mathrm{SL}_ 2(\mathbb R)\)
• On symplectic Euler factors of genus two
• Vector valued theta series and Waldspurger's theorem
• Hecke eigenvalues of Siegel modular forms (mod \(p\)) and of algebraic modular forms
• Covariants of binary sextics and vector-valued Siegel modular forms of genus two
• On an exact mass formula of Shimura
• Algebraic modular forms
• On certain arithmetical Dirichlet series
• Arithmetic of alternating forms and quaternion hermitian forms
• The vanishing of Ramanujan's function \(\tau(n)\)
• Congruence Between a Siegel and an Elliptic Modular Form
• Siegel Modular Forms of Genus 2 and Level 2: Cohomological Computations and Conjectures
• On maximal orders of division quaternion algebras over the rational number field with certain optimal embeddings
• A Simple Trace Formula for Algebraic Modular Forms
• On the computation of algebraic modular forms on compact inner forms of 𝐆𝐒𝐩₄
• Computing with Algebraic Automorphic Forms
• Computing Weight One Modular Forms over $\mathbb{C}$ and $\overline{\mathbb{F}}_{p}$
• Lattice Methods for Algebraic Modular Forms on Classical Groups

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