U(3)的五变量p进l函数×U(2)

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-05-21 DOI:10.1016/j.aim.2025.110355

Ming-Lun Hsieh , Shunsuke Yamana

引用次数: 0

摘要

利用Ichino-Ikeda公式，构造了定酉群U(3)和U(2)上属于Hida族的五变量p进l函数。该插值公式符合Coates和Perrin-Riou预测的p进l函数的推测形状。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Five-variable p-adic L-functions for U(3)×U(2)

We construct a five-variable p-adic L-function attached to Hida families on the definite unitary groups

U (3)

and

U (2)

by using the Ichino-Ikeda formula. The interpolation formula fits into the conjectural shape of p-adic L-functions predicted by Coates and Perrin-Riou.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.