Strong minimality of triangle functions
Guy Casale, Matthew DeVilbiss, James Freitag, and Joel Nagloo
TL;DR
This paper provides a shorter, more conceptual proof of the strong minimality of certain automorphic functions, building on previous results by Freitag, Scanlon, Casale, Nagloo, and others.
Contribution
It introduces a new, concise proof of strong minimality for specific automorphic functions, differing from and simplifying prior approaches.
Findings
Established a shorter proof of strong minimality
Confirmed the strong minimality of certain automorphic functions
Provided a new conceptual perspective on existing results
Abstract
In this manuscript, we give a new proof of strong minimality of certain automorphic functions, originally results of Freitag and Scanlon (2017), Casale, Freitag, and Nagloo (2020), Bl\'azquez-Sanz, Casale, Freitag, and Nagloo (2020). Our proof is shorter and conceptually different than those presently in the literature.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Functional Equations Stability Results · Mathematical Dynamics and Fractals