The Beilinson conjectures for CM elliptic curves via hypergeometric functions

被引：4
|
作者：
Ito, Ryojun [1 ]
机构：
[1] Chiba Univ, Grad Sch Sci, Dept Math & Informat, Inage Ku, Yayoicho 1-33, Chiba 2638522, Japan
来源：
RAMANUJAN JOURNAL | 2018年 / 45卷 / 02期
关键词：
L-value of elliptic curve; Regulator; Beilinson conjectures; Hypergeometric function; HECKE L-FUNCTIONS; FERMAT-CURVES; VALUES;
D O I：
10.1007/s11139-016-9859-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider certain CM elliptic curves which are related to Fermat curves, and express the values of L-functions at in terms of special values of generalized hypergeometric functions. We compare them and a similar result of Rogers-Zudilin with Otsubo's regulator formulas, and give a new proof of the Beilinson conjectures originally due to Bloch.
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页码：433 / 449
页数：17
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