Structure of Hermitian modular forms modulo \(p\) and some applications
type: Item
instance of: scholarly article
title: Structure of Hermitian modular forms modulo \(p\) and some applications
zbMATH Open document ID: 1481.11049
author: Jaban Meher
author: Sujeet Kumar Singh
published in: Research in Number Theory
publication date: 2021-08-13T00:00:00Z
review text: The paper under review generalizes some known congruences for Siegel modular forms to Hermitian modular forms. Specifically, the authors determine the ring structure of Hermitian modular forms of degree \(2\) modulo a prime \(p\) (see Thm~1.1 and Cor~1.2). Moreover, the authors consider the theta operator \(\Theta\) for Hermitian modular forms, and prove that if \(F\) is a Hermitian cusp form of weight \(k\) that does not vanish modulo a prime \(p\) with \(p>k\), then \(\Theta(F)\) does not vanish modulo \(p\) (see Thm~1.3).
reviewed by: Olav K. Richter
Mathematics Subject Classification ID: 11F33
Mathematics Subject Classification ID: 11F55
Mathematics Subject Classification ID: 11F50
zbMATH DE Number: 7381870
zbMATH Keywords: Hermitian modular forms
zbMATH Keywords: Hermitian Jacobi forms
zbMATH Keywords: theta operator
MaRDI profile type: Publication
full work available at URL: s40993-021-00280-y
OpenAlex ID: W3190017027
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DOI: 10.1007/S40993-021-00280-Y
description: scientific article; zbMATH DE number 7381870