On some new modular relations for a remarkable product of theta functions

被引：0

作者：

Naika, M. S. Mahadeva ^{[1
]}

Chandankumar, S. ^{[2
]}

Hemanthkumar, B. ^{[1
]}

机构：

[1] Bangalore Univ, Dept Math, Cent Coll Campus, Bangalore 560001, Karnataka, India

[2] MS Ramaiah Univ Appl Sci, Dept Math, Bangalore, Karnataka, India

来源：

TBILISI MATHEMATICAL JOURNAL | 2014年 / 7卷 / 01期

关键词：

Modular equations; Theta-functions; Remarkable product of theta-functions;

D O I：

10.2478/tmj-2014-0006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish some new modular equations of degree 9. We also establish several new P-Q mixed modular equations involving theta-functions which are similar to those recorded by Ramanujan in his notebooks. As an application, we establish some new general formulas for explicit evaluations of a Remarkable product of theta-functions.

引用

页码：55 / 68

页数：14

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