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

Ming-Lun Hsieh; Shunsuke Yamana

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

Number Theory 2023-12-11 v2

Authors: Ming-Lun Hsieh , Shunsuke Yamana

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.

Keywords

p-adic analysis

Cite

@article{arxiv.2311.17661,
  title  = {Five-variable $p$-adic $L$-functions for $U(3)\times U(2)$},
  author = {Ming-Lun Hsieh and Shunsuke Yamana},
  journal= {arXiv preprint arXiv:2311.17661},
  year   = {2023}
}

Related papers

View all related →