$p$-adic $L$-functions for $\mathrm{U}(2,1)\times \mathrm{U}(1,1)$

Michael Harris, Ming-Lun Hsieh, Shunsuke Yamana

We construct the five-variable $p$-adic $L$-function attached to Hida families on $\mathrm{U}(2,1)\times \mathrm{U}(1,1)$, interpolating the square-root of Rankin-Selberg $L$-values i…