On the refined Gan-Gross-Prasad conjecture for cusp forms of GSp(4)

Jun Wen

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arXiv · 1512.09222

On the refined Gan-Gross-Prasad conjecture for cusp forms of GSp(4)

Jun Wen

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Abstract

We prove a conjectural formula relating the Bessel period of certain automorphic forms on $\mathrm{GSp}_4$ to a central $L$-value. This formula is proposed by Liu \cite{liu} as the refined Gan-Gross-Prasad conjecture for the groups $(\SO(5), \SO(2))$. The conjecture has been previously proved for certain automorphic forms on $\mathrm{GSp_4}$ from lifts. In this paper, we extend the formula to Siegel modular forms of $\Sp_4(\bZ)$.

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Jun Wen. 2016-06-13. On the refined Gan-Gross-Prasad conjecture for cusp forms of GSp(4). https://arxiv.org/abs/1512.09222

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