TL;DR
This paper discusses the construction of automorphic functions for a specific Kleinian group, providing historical context and highlighting the novelty of studying automorphic forms for groups of the first kind.
Contribution
It introduces the first study of automorphic functions for Kleinian groups of the first kind, expanding understanding beyond previously studied cases.
Findings
Automorphic functions constructed for the Whitehead-link-complement group
Historical background provided for the development of automorphic functions
Highlights the novelty of studying automorphic forms for Kleinian groups of the first kind
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.
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