西格尔庞卡罗级数的线性关系及旋量l函数中心值的不消失性

IF 0.3 4区数学 Q4 MATHEMATICS Journal De Theorie Des Nombres De Bordeaux Pub Date : 2021-10-12 DOI:10.5802/jtnb.1226

Zhining Wei

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摘要

本文首先研究了一类单参数西格尔庞卡罗级数族的线性关系。然后给出了西格尔尖点特征型的傅里叶系数不消失和中心值的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Linear Relations of Siegel Poincaré Series and Non-vanishing of the Central Values of Spinor L-functions

In this paper, we will first investigate the linear relations of a one parameter family of Siegel Poincaré 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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