Spectral summation formula for GSp(4) and moments of spinor $L$-functions

Valentin Blomer

doi:10.4171/jems/872

JournalsjemsVol. 21, No. 6pp. 1751–1774

Spectral summation formula for GSp(4) and moments of spinor $L$ -functions

Valentin Blomer
Georg-August-Universität Göttingen, Germany

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Abstract

We compute the first and second moment of the spinor $L$ -function at the central point of Siegel modular forms of large weight $k$ with power saving error term and give applications to non-vanishing.

Cite this article

Valentin Blomer, Spectral summation formula for GSp(4) and moments of spinor $L$ -functions. J. Eur. Math. Soc. 21 (2019), no. 6, pp. 1751–1774

DOI 10.4171/JEMS/872