Sturm's operator acting on vector valued K‐types

Kathrin Maurischat

Mathematische Nachrichten, 2020, vol. 293, issue 6, 1136-1155

Abstract: We define Sturm's operator for vector valued Siegel modular forms obtaining an explicit description of their holomorphic projection in case of large absolute weight. However, for small absolute weight, Sturm's operator produces phantom terms in addition. This confirms our earlier results for scalar Siegel modular forms.

Date: 2020
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https://doi.org/10.1002/mana.201900200

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