Triple product $p$-adic $L$-function attached to $p$-adic families of modular forms

Abstract

Ming-Lun Hsieh constructed three-variable triple product $p$-adic $L$-functions attached to triples of primitive Hida families and proved interpolation formulas. We generalize his result in the unbalanced case and construct a three-variable triple product $p$-adic $L$-function attached to a primitive Hida family and two more general $p$-adic families of modular forms.