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arXiv · 1606.07966

Shimura's Vector-Valued Modular Forms, Weight Changing Operators, and Laplacians

Shaul Zemel
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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.

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Shaul Zemel. 2016-06-25. Shimura's Vector-Valued Modular Forms, Weight Changing Operators, and Laplacians. https://doi.org/10.1007/s40993-018-0104-3

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