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

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1. Verfasser: Henry, Michael Andrew
Format: Preprint
Veröffentlicht: 2025
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author Henry, Michael Andrew
author_facet Henry, Michael Andrew
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_23823
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A new kind of automorphic form and a proof of the essential transformation laws
Henry, Michael Andrew
Number Theory
Mathematical Physics
Algebraic Geometry
Combinatorics
Complex Variables
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.
title A new kind of automorphic form and a proof of the essential transformation laws
topic Number Theory
Mathematical Physics
Algebraic Geometry
Combinatorics
Complex Variables
url https://arxiv.org/abs/2512.23823