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

Shaul Zemel

doi:https://doi.org/10.1007/s40993-018-0104-3

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

Shaul Zemel

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

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 language	English
Article number	8
Journal	Research in Number Theory
Volume	4
Issue number	1
DOIs	https://doi.org/10.1007/s40993-018-0104-3
State	Published - 1 Mar 2018

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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https://doi.org/10.1007/s40993-018-0104-3

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

Abstract

All Science Journal Classification (ASJC) codes

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