中文

关于三重积 $p$-进 $L$-函数的 Artin 形式:超因子分解

数论 2025-01-15 v2

摘要

我们证明了在一篇姊妹文章中提出的针对三重积 pp-进 LL-函数的因子分解猜想,在三个因子中有两个具有复乘的特殊情形下的成立性。

关键词

引用

@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}
}

备注

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