Regulators of K-2 of hypergeometric fibrations

被引：0
|
作者：
Asakura, Masanori [1 ]
机构：
[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan
来源：
RESEARCH IN NUMBER THEORY | 2018年 / 4卷
基金：
日本学术振兴会;
关键词：
Periods; Regulators; Hypergeometric functions;
D O I：
10.1007/s40993-018-0116-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We describe Beilinson regulators of hypergeometric fibrations in terms of generalized hypergeometric functions. Employing a formula of Rogers and Zudilin, we obtain the comparison of the regulator with the special value of L function of a certain elliptic curve. This is a new approach toward the Beilinson conjecture.
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页数：25
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