A new kind of automorphic form and a proof of the essential transformation laws

Michael Andrew Henry

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arXiv · 2512.23823

A new kind of automorphic form and a proof of the essential transformation laws

Michael Andrew Henry

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Abstract

We utilize the structure of quasiautomorphic forms over an arbitrary Hecke triangle group to define a new vector analogue of an automorphic form. We supply a proof of the functional equations that hold for these functions modulo the group generators.

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Michael Andrew Henry. 2025-12-29. A new kind of automorphic form and a proof of the essential transformation laws. https://arxiv.org/abs/2512.23823

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