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Bibliographic Details
Main Author: Pollack, Aaron
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.00838
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author Pollack, Aaron
author_facet Pollack, Aaron
contents We prove an automatic convergence theorem for holomorphic modular forms on tube domains. The argument works in some generality, and covers in particular the case of orthogonal groups, symplectic groups, unitary and quaternion unitary groups, and the exceptional group $E_7$.
format Preprint
id arxiv_https___arxiv_org_abs_2603_00838
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Automatic convergence for holomorphic modular forms
Pollack, Aaron
Number Theory
We prove an automatic convergence theorem for holomorphic modular forms on tube domains. The argument works in some generality, and covers in particular the case of orthogonal groups, symplectic groups, unitary and quaternion unitary groups, and the exceptional group $E_7$.
title Automatic convergence for holomorphic modular forms
topic Number Theory
url https://arxiv.org/abs/2603.00838