Tohoku Mathematical Journal
2022
September
SECOND SERIES VOL. 74, NO. 3

Tohoku Math. J.
74 (2022), 441-488

Title TRIPLE PRODUCT $p$-ADIC $L$-FUNCTION ATTACHED TO $p$-ADIC FAMILIES OF MODULAR FORMS

Author Kengo Fukunaga

(Received September 2, 2019, revised April 30, 2021)
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.

Mathematics Subject Classification. Primary 11F67; Secondary 11F33.
Key words and phrases. Triple product $L$-functions, $p$-adic families of modular forms.

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