The adjoint of the nullwert map on Jacobi forms of lattice index

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BOYLAN H.

Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, vol.94, no.2, pp.225-234, 2024 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 94 Issue: 2
• Publication Date: 2024
• Doi Number: 10.1007/s12188-024-00281-5
• Journal Name: Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet
• Page Numbers: pp.225-234
• Keywords: Jacobi forms of lattice index, Modular forms of integral weight
• Istanbul University Affiliated: Yes

Abstract

We state and prove a formula for the adjoint of the nullwert map from spaces of Jacobi cusp forms of lattice index to spaces of modular forms. Furthermore, we prove a nonvanishing result for the image of the adjoint of the nullwert map.