关于三重积 $p$-进 $L$-函数的 Artin 形式
数论
2025-01-14 v1
摘要
本文的主要目标是研究三重积 -进 -函数的分解问题,特别是在所涉及的 -进 -函数的定义性质与该问题无关的情形下,尽管 Artin 形式暗示了这种分解。在 ETNC 哲学的指导下,我们的分析将这一问题转化为对对角圈、Beilinson--Kato 元素和 Heegner 圈的比较。
引用
@article{arxiv.2501.06541,
title = {On the Artin formalism for triple product $p$-adic $L$-functions},
author = {Kâzım Büyükboduk and Ryotaro Sakamoto},
journal= {arXiv preprint arXiv:2501.06541},
year = {2025}
}
备注
This is the first paper in a two-part series replacing an earlier submission (arXiv:2301.08383), which is no longer intended to be published as a stand-alone paper. 45 pages, comments are very welcome