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
收藏
页码：55 / 68
页数：14
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