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arXiv · 2604.21195

Moments and joint nonvanishing of symplectic $L$-functions

Valentin Blomer·Soumya Das
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Abstract

We compute an asymptotic formula for a moment involving the spinor and the standard $L$-functions for holomorphic Siegel cusp forms of degree two and large weight $k$. Applications include simultaneous non-vanishing statements and lower bounds for second moments.

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Valentin Blomer, Soumya Das. 2026-04-23. Moments and joint nonvanishing of symplectic $L$-functions. https://arxiv.org/abs/2604.21195

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