On the arithmetic dimension of triangle groups

DOI10.1090/mcom/3147zbMath1379.11043arXiv1510.04637OpenAlexW2285667604MaRDI QIDQ2970109

John Voight, Steve Nugent

Publication date: 27 March 2017

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

Full work available at URL: https://arxiv.org/abs/1510.04637

zbMATH Keywords

quaternion algebracomputer algorithmtrace fieldarithmetic dimensionconjugate trianglehyperbolic triangle groupsplit real place

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Modular and Shimura varieties (14G35) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (5)

Systolic length of triangular modular curves ⋮ Triangular modular curves of small genus ⋮ Decreasing height along continued fractions ⋮ Unnamed Item ⋮ Orientable hyperbolic 4-manifolds over the 120-cell

Cites Work

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• Algebraic cycles on compact Shimura surface
• A characterization of arithmetic Fuchsian groups
• Arithmetic triangle groups
• Approximate formulas for some functions of prime numbers
• Modular embeddings for some non-arithmetic Fuchsian groups
• Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n
• The 𝑘^{𝑡ℎ} prime is greater than 𝑘(ln𝑘+lnln𝑘-1) for 𝑘≥2
• Semi-Arithmetic Fuchsian Groups and Modular Embeddings
• Modular embeddings and rigidity for Fuchsian groups

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