Five-variable $p$-adic $L$-functions for $U(3)\times U(2)$

Ming-Lun Hsieh; Shunsuke Yamana

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arXiv · 2311.17661

Five-variable $p$-adic $L$-functions for $U(3)\times U(2)$

Ming-Lun Hsieh·Shunsuke Yamana

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Abstract

We construct a five-variable $p$-adic $L$-function attached to Hida families on the definite unitary groups $U(3)$ and $U(2)$ by using the Ichino-Ikeda formula. The interpolation formula fits into the conjectural shape of $p$-adic $L$-functions predicted by Coates and Perrin-Riou.

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Ming-Lun Hsieh, Shunsuke Yamana. 2023-11-29. Five-variable $p$-adic $L$-functions for $U(3)\times U(2)$. https://arxiv.org/abs/2311.17661

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