On the Artin formalism for triple product $p$-adic $L$-functions: Super-factorization

Abstract

We prove the factorization conjecture for triple-product $p$-adic $L$-functions formulated in a companion article in the special case when two of the (three) factors have complex multiplication.

arXiv commentThis is the second paper in a two-part series (where the first paper by the first-named author and Ryotaro Sakamoto has been posted as arXiv: 2501.06541), which together replace the first version of this submission. Version 1 is no longer intended to be published as a stand-alone paper. 33 pages, comments are very welcome