Linear Relations of Siegel Poincare Series and Nonvanshing of the Central Value of Spinor L-functions

Zhining Wei

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arXiv · 2110.06254

Linear Relations of Siegel Poincare Series and Nonvanshing of the Central Value of Spinor L-functions

Zhining Wei

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Abstract

In this paper, we will first investigate the linear relations of a one parameter family of Siegel Poincar\'e series. Then we give the applications to the non-vanishing of Fourier coefficients of Siegel cusp eigenforms and the central values.

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Zhining Wei. 2021-10-12. Linear Relations of Siegel Poincare Series and Nonvanshing of the Central Value of Spinor L-functions. https://arxiv.org/abs/2110.06254

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