Rogers dilogarithms of higher degree and generalized cluster algebras

被引：2

作者：

Nakanishi, Tomoki ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2018年 / 70卷 / 04期

关键词：

dilogarithm; quantum dilogarithm; cluster algebra; QUANTUM DILOGARITHM; IDENTITIES;

D O I：

10.2969/jmsj/75767576

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In connection with generalized cluster algebras we introduce a certain generalization of the celebrated Rogers dilogarithm, which we call the Rogers dilogarithms of higher degree. We show that there is an identity of these generalized Rogers dilogarithms associated with any period of seeds of a generalized cluster algebra.

引用

页码：1269 / 1304

页数：36

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