Shimura’s vector-valued modular forms, weight changing operators, and Laplacians

Shaul Zemel*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We investigate the various types of weight raising and weight lowering operators on quasi-modular forms, or equivalently on Shimura’s vector-valued modular forms involving symmetric power representations. We also present all the eigenfunctions of the two possible Laplacian operators.

Original languageEnglish
Article number8
JournalResearch in Number Theory
Volume4
Issue number1
DOIs
StatePublished - 1 Mar 2018

Bibliographical note

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© 2018, SpringerNature.

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