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

DOI10.5802/JTNB.1226arXiv2110.06254MaRDI QIDQ6380121

Publication date: 12 October 2021

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.

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30)

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