Lattice methods for algebraic modular forms on classical groups

2012/09/11 by Greenberg, Matthew, Voight, John · 3 citations
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1209.2460

Abstract

We use Kneser's neighbor method and isometry testing for lattices due to Plesken and Souveigner to compute systems of Hecke eigenvalues associated to definite forms of classical reductive algebraic groups.

Cited by

• Refined Humbert Invariants in Supersingular Isogeny Degree Analysis
• Computing Hilbert modular forms as orthogonal modular forms
• Hermitian modular forms and algebraic modular forms on SO(6)

Related

• Explicit methods for Hilbert modular forms
• Definite orthogonal modular forms: Computations, Excursions and Discoveries
• Hecke eigenvalues of Siegel modular forms (mod p) and of algebraic modular forms
• Analytic evaluation of Hecke eigenvalues for classical modular forms
• Siegel modular forms (mod p) and algebraic modular forms