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arXiv · 2005.10282

Algebraicity of special $L$-values attached to Siegel-Jacobi modular forms

Thanasis Bouganis·Jolanta Marzec
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Abstract

In this work we obtain algebraicity results on special $L$-values attached to Siegel-Jacobi modular forms. Our method relies on a generalization of the doubling method to the Jacobi group obtained in our previous work, and on introducing a notion of near holomorphy for Siegel-Jacobi modular forms. Some of our results involve also holomorphic projection, which we obtain by using Siegel-Jacobi Poincar\'e series of exponential type.

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Thanasis Bouganis, Jolanta Marzec. 2020-05-20. Algebraicity of special $L$-values attached to Siegel-Jacobi modular forms. https://arxiv.org/abs/2005.10282

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