Automorphic functions for a Kleinian group

zbMATH Open1145.11040arXiv0904.1022MaRDI QIDQ5457902

Masaaki Yoshida

Publication date: 9 April 2008

Abstract: In the paper `Automorphic functions for a Whitehead-complement group', [Osaka J Math 43 (2006) 63-77] Matsumoto, Nishi and Yoshida constructed automorphic functions on real 3-dimensional hyperbolic space for a Kleinian group called the Whitehead-link-complement group. For a Kleinian group (of the first kind), no automorphic function/form has been studied before. In this note, their motivation is presented with a historical background.

Full work available at URL: https://arxiv.org/abs/0904.1022

zbMATH Keywords

automorphic formstheta functionsWhitehead linkhyperbolic structurehypergeometric differential equation

Mathematics Subject Classification ID

Real algebraic sets (14P05) Other groups and their modular and automorphic forms (several variables) (11F55)

Related Items (4)

Characters of automorphism groups associated with Kähler classes and functionals with cocycle conditions ⋮ Invariant currents and automorphic forms of an elementary Kleinian group ⋮ Title not available (Why is that?) ⋮ Fuchsian groups, automorphic functions and Schwarzians

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