L-function of CM elliptic curves and generalized hypergeometric functions

被引：0

作者：

Nemoto, Yusuke ^{[1
]}

机构：

[1] Chiba Univ, Grad Sch Sci, Dept Math & Informat, Yayoicho 1-33, Inage, Chiba 2638522, Japan

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2025年 / 21卷 / 04期

关键词：

L-function; generalized hypergeometric function; regulator; CONJECTURE; VALUES;

D O I：

10.1142/S1793042125500393

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we express special values of the L-functions of certain CM elliptic curves which are related to Fermat curves in terms of the special values of generalized hypergeometric functions by comparing Bloch's element with Ross's element in the motivic cohomology group.

引用

页码：793 / 808

页数：16

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