On Some Ramanujan Identities for the Ratios of Eta-Functions

被引：8
|
作者：
Bhargava, S. [1 ]
Vasuki, K. R. [1 ]
Rajanna, K. R. [2 ]
机构：
[1] Univ Mysore, Mysore, Karnataka, India
[2] MVJ Coll Engn, Bangalore, Karnataka, India
来源：
UKRAINIAN MATHEMATICAL JOURNAL | 2015年 / 66卷 / 08期
关键词：
LOST NOTEBOOK;
D O I：
10.1007/s11253-015-0999-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give direct proofs of some of Ramanujan's P-Q modular equations based on simply proved elementary identities from Chapter 16 of his Second Notebook.
引用
收藏
页码：1131 / 1151
页数：21
相关论文
共 50 条
  • [21] Some new identities of Rogers-Ramanujan type
    Gu, Jing
    Zhang, Zhizheng
    ACTA MATHEMATICA SCIENTIA, 2024, 44 (01) : 129 - 142
  • [22] Some modular equations analogous to Ramanujan’s identities
    H. M. Srivastava
    B. R. Srivatsa Kumar
    R. Narendra
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021, 115
  • [23] Some more identities of the Rogers-Ramanujan type
    Douglas Bowman
    James Mc Laughlin
    Andrew V. Sills
    The Ramanujan Journal, 2009, 18 : 307 - 325
  • [24] Some more identities of the Rogers-Ramanujan type
    Bowman, Douglas
    Mc Laughlin, James
    Sills, Andrew V.
    RAMANUJAN JOURNAL, 2009, 18 (03): : 307 - 325
  • [25] Proofs of some conjectures on the reciprocals of the Ramanujan–Gordon identities
    Min Bian
    Dazhao Tang
    Ernest X. W. Xia
    Fanggang Xue
    The Ramanujan Journal, 2021, 55 : 497 - 515
  • [26] SOME MODULAR IDENTITIES OF RAMANUJAN USEFUL IN APPROXIMATING PI
    BORWEIN, J
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 95 (03) : 365 - 371
  • [27] ON SOME GENERALIZATIONS OF RAMANUJAN CONTINUED-FRACTION IDENTITIES
    BHARGAVA, S
    ADIGA, C
    SOMASHEKARA, DD
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1987, 97 (1-3): : 31 - 43
  • [28] Some modular equations analogous to Ramanujan's identities
    Srivastava, H. M.
    Kumar, B. R. Srivatsa
    Narendra, R.
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2021, 115 (02)
  • [29] Some identities related to Ramanujan's tau function
    Robbins, N
    ARS COMBINATORIA, 2001, 60 : 219 - 224
  • [30] An idea on some of Ramanujan’s continued fraction identities
    Lisa Lorentzen
    The Ramanujan Journal, 2008, 17 : 369 - 385
12345