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

Bouganis, A. and Marzec, J. (2021) 'Algebraicity of special L-values attached to Siegel-Jacobi modular forms.', Manuscripta mathematica., 166 (3-4). pp. 359-402.


n 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 Poincaré series of exponential type.

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Date accepted:07 September 2020
Date deposited:08 September 2020
Date of first online publication:22 September 2020
Date first made open access:07 October 2020

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