On computing quaternion quotient graphs for function fields

DOI10.5802/jtnb.789zbMath1285.11079arXiv1010.4826OpenAlexW2964164205MaRDI QIDQ449676

Gebhard Böckle, Ralf Butenuth

Publication date: 31 August 2012

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.4826

Mathematics Subject Classification ID

Modular forms associated to Drinfel'd modules (11F52) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Groups acting on trees (20E08)

Related Items

Approximations of the balanced triple product \(p\)-adic \(L\)-function, Quotients of the Bruhat-Tits tree by function field analogs of the Hecke congruence subgroups, Division algebras and maximal orders for given invariants, Simply transitive quaternionic lattices of rank 2 over_q(t) and a non-classical fake quadric, Computing fundamental domains for the Bruhat–Tits tree for , -adic automorphic forms, and the canonical embedding of Shimura curves, Quaternionic arithmetic lattices of rank 2 and a fake quadric in characteristic 2

Uses Software

• Magma

Cites Work

• Algebraic function fields and codes
• Ramanujan complexes of type \(\widetilde A_d\)
• Modular curves of \(\mathcal{D}\)-elliptic sheaves are asymptotically optimal
• Computing fundamental domains for Fuchsian groups
• Arithmétique des algèbres de quaternions
• Modular symbols for \(F_ q(T)\)
• The Magma algebra system. I: The user language
• Computing Riemann-Roch spaces in algebraic function fields and related topics.
• Corrigendum: Algorithmic Enumeration of Ideal Classes for Quaternion Orders
• Computing systems of Hecke eigenvalues associated to Hilbert modular forms
• ON GENERATORS OF ARITHMETIC GROUPS OVER FUNCTION FIELDS
• Quaternionic Manin symbols, Brandt matrices, and Hilbert modular forms
• The Poisson Kernel for Drinfeld Modular Curves
• FUNDAMENTAL DOMAINS OF SOME ARITHMETIC GROUPS OVER FUNCTION FIELDS
• Hecke Operators and Hilbert Modular Forms
• Algorithmic Number Theory
• Algebra
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item