HST提升的显式内积公式和贝塞尔周期公式

Pub Date : 2018-10-05 DOI:10.1215/21562261-2022-0004

K. Namikawa

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引用次数: 2

摘要

我们明确地给出了GSp（4）上θ级数的内积公式和贝塞尔周期公式，这是Harris、Soudry和Taylor研究的。因此，我们证明了小权的θ级数的不消失，并给出了模a素数的θ级数不消失的判据。

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Explicit inner product formulas and Bessel period formulas for HST lifts

We explicitly give an inner product formula and a Bessel period formula for theta series on GSp(4), which was studied by Harris, Soudry and Taylor. As a consequence, we prove a non-vanishing of the theta series of small weights and we give a criterion for the non-vanishing of the theta series modulo a prime.

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