Cubic modular equations and new Ramanujan-type series for 1/π

被引：24
|
作者：
Chan, HH
Liaw, WC
机构：
[1] Natl Univ Singapore, Singapore 119260, Singapore
[2] Univ Illinois, Urbana, IL 61801 USA
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2000年 / 192卷 / 02期
关键词：
D O I：
10.2140/pjm.2000.192.219
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we derive new Ramanujan-type series for 1/pi which belong to "Ramanujan's theory of elliptic functions to alternative base 3" developed recently by B.C. Berndt, S. Bhargava, and F.G. Garvan.
引用
收藏
页码：219 / 238
页数：20
相关论文
共 50 条
  • [1] Some new Ramanujan-type modular equations of degree 15
    Zhang, Chuan-Ding
    Yang, Li
    RAMANUJAN JOURNAL, 2024, 64 (01): : 143 - 151
  • [2] Some new Ramanujan-type modular equations of degree 15
    Zhang Chuan-Ding
    Yang Li
    The Ramanujan Journal, 2024, 64 : 143 - 151
  • [3] Ramanujan-type series for 1/π , revisited
    Ye, Dongxi
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2024, 67 (02): : 350 - 368
  • [4] Eisenstein series and Ramanujan-type series for 1/π
    Baruah, Nayandeep Deka
    Berndt, Bruce C.
    RAMANUJAN JOURNAL, 2010, 23 (1-3): : 17 - 44
  • [5] Eisenstein series and Ramanujan-type series for 1/π
    Nayandeep Deka Baruah
    Bruce C. Berndt
    The Ramanujan Journal, 2010, 23 : 17 - 44
  • [6] About a new kind of Ramanujan-type series
    Guillera, J
    EXPERIMENTAL MATHEMATICS, 2003, 12 (04) : 507 - 510
  • [7] Legendre polynomials and Ramanujan-type series for 1/π
    Chan, Heng Huat
    Wan, James
    Zudilin, Wadim
    ISRAEL JOURNAL OF MATHEMATICS, 2013, 194 (01) : 183 - 207
  • [8] A Matrix form of Ramanujan-type series for 1/π
    Guillera, Jesus
    GEMS IN EXPERIMENTAL MATHEMATICS, 2010, 517 : 189 - +
  • [9] GAUSS SUMMATION AND RAMANUJAN-TYPE SERIES FOR 1/π
    Liu, Zhi-Guo
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2012, 8 (02) : 289 - 297
  • [10] Legendre polynomials and Ramanujan-type series for 1/π
    Heng Huat Chan
    James Wan
    Wadim Zudilin
    Israel Journal of Mathematics, 2013, 194 : 183 - 207
12345