English

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

Number Theory 2025-01-15 v2

Abstract

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

Keywords

Cite

@article{arxiv.2301.08383,
  title  = {On the Artin formalism for triple product $p$-adic $L$-functions: Super-factorization},
  author = {Kâzım Büyükboduk and Daniele Casazza},
  journal= {arXiv preprint arXiv:2301.08383},
  year   = {2025}
}

Comments

This 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