Explicit Calculations of Automorphic Forms for Definite Unitary Groups

DOI10.1112/S1461157000000620zbMath1222.11064arXiv0801.3176MaRDI QIDQ3091968

David Loeffler

Publication date: 15 September 2011

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3176

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Galois representations (11F80) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items

A Simple Trace Formula for Algebraic Modular Forms ⋮ Slopes of Modular Forms ⋮ Simultaneous computation of Hecke operators ⋮ The characteristic masses of Niemeier lattices ⋮ Computing with Algebraic Automorphic Forms ⋮ Lattice Methods for Algebraic Modular Forms on Classical Groups

Uses Software

• Magma
• SageMath

Cites Work

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• The Magma algebra system. I: The user language
• On an exact mass formula of Shimura
• Algebraic modular forms
• Quaternionic Manin symbols, Brandt matrices, and Hilbert modular forms
• Automorphic Representation of Unitary Groups in Three Variables. (AM-123)