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Algebraicity of special L-values attached to Siegel–Jacobi modular forms
manuscripta mathematica ( IF 0.5 ) Pub Date : 2020-09-22 , DOI: 10.1007/s00229-020-01243-w
Thanasis Bouganis , Jolanta Marzec

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 Poincare series of exponential type.

中文翻译:

附加到 Siegel-Jacobi 模形式的特殊 L 值的代数性

在这项工作中,我们获得了附加到 Siegel-Jacobi 模形式的特殊 $L$ 值的代数性结果。我们的方法依赖于对我们之前工作中获得的 Jacobi 群的加倍方法的推广,并引入了 Siegel-Jacobi 模形式的近全纯概念。我们的一些结果还涉及全纯投影,这是我们通过使用指数类型的 Siegel-Jacobi Poincare 级数获得的。
更新日期:2020-09-22
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