The elliptic trilogarithm and Mahler measures of K3 surfaces

被引：2

作者：

Samart, Detchat ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

FORUM MATHEMATICUM | 2016年 / 28卷 / 03期

关键词：

Elliptic trilogarithm; Mahler measure; Eisenstein-Kronecker series; K3; surface; L-function; SPECIAL VALUES;

D O I：

10.1515/forum-2014-0045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to derive explicitly a connection between the Zagier elliptic trilogarithm and Mahler measures of certain families of three-variable polynomials defining K3 surfaces. In addition, we prove some linear relations satisfied by the elliptic trilogarithm evaluated at torsion points on elliptic curves.

引用

页码：405 / 423

页数：19

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