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.

引用

页数：25

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