Mass formulas and Eisenstein congruences in higher rank

DOI10.1016/j.jnt.2023.10.004arXiv1907.03417MaRDI QIDQ6187124

Satoshi Wakatsuki, Kimball Martin

Publication date: 10 January 2024

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03417

zbMATH Keywords

congruencesautomorphic formsunitary groupsalgebraic modular formsmass formulas

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stabilization of the twisted trace formula. Vol. 1
• Galois representations arising from some compact Shimura varieties
• Eisenstein congruences for split reductive groups
• On higher congruences between automorphic forms
• Modular curves and the Eisenstein ideal
• The Jacquet-Langlands correspondence, Eisenstein congruences, and integral \(L\)-values in weight \(2\)
• Refined dimensions of cusp forms, and equidistribution and bias of signs
• On an exact mass formula of Shimura
• Algebraic modular forms
• Construction of automorphic Galois representations. II
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• Non-optimal levels of a reducible mod $\ell $ modular representation
• Automorphic Representation of Unitary Groups in Three Variables. (AM-123)
• Congruences for Modular Forms mod 2 and QuaternionicS-ideal Classes
• The basis problem revisited
• Endoscopic Classification of representations of Quasi-Split Unitary Groups
• Quadratic Diophantine equations, the class number, and the mass formula

This page was built for publication: Mass formulas and Eisenstein congruences in higher rank