ON SOME NEW MIXED MODULAR EQUATIONS INVOLVING RAMANUJAN'S THETA-FUNCTIONS

被引:0
作者
Naika, M. S. Mahadeva [1 ]
Chandankumar, S. [2 ]
Harish, M. [1 ]
机构
[1] Bangalore Univ, Dept Math, Cent Coll Campus, Bengaluru 560001, Karnataka, India
[2] Acharya Inst Grad Studies, Dept Math, Bengaluru 560107, Karnataka, India
来源
MATEMATICKI VESNIK | 2014年 / 66卷 / 03期
关键词
Modular equations; theta-functions;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In his second notebook, Ramanujan recorded altogether 23 P-Q modular equations involving his theta functions. In this paper, we establish several new mixed modular equations involving Ramanujan's theta-functions phi and psi which are akin to those recorded in his notebook.
引用
收藏
页码:283 / 293
页数:11
相关论文
共 5 条
[1]  
Berndt B. C., 1991, RAMANUJANS NOTEBOOKS
[2]  
Berndt B.C., 1994, RAMANUJANS NOTEBOO 4
[3]  
Bhargava S., 2002, ADV STUD CONT MATH, V5, P37
[4]  
Bhargava S, 2003, INDIAN J MATH, V45, P23
[5]  
Ramanujan S., 1957, NOTEBOOKS S RAMANUJA, V1 and 2