Two theta-function identities for the Ramanujan-Selberg continued fraction and applications

被引：2

作者：

Saikia, Nipen ^{[1
]}

机构：

[1] Rajiv Gandhi Univ, Dept Math, Doimukh 791112, Arunachal Prade, India

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 151卷

关键词：

Ramanujan-Selberg continued fraction; Theta-function identities; Reciprocity formulas; Explicit evaluations;

D O I：

10.1016/j.jnt.2014.12.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove two theta-function identities for the Ramanujan-Selberg continued fraction which are analogous to those of the Rogers-Ramanujan continued fraction. These identities are then used to prove reciprocity formulas and general theorems for the explicit evaluations of the Ramanujan-Selberg continued fraction. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：46 / 53

页数：8

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