Level 10 analogues of Ramanujan's series for 1/π

被引：0
|
作者：
Cooper, Shaun [1 ]
机构：
[1] Massey Univ Albany, Inst Informat & Math Sci, North Shore Mail Ctr, Auckland, New Zealand
来源：
JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY | 2012年 / 27卷 / 01期
关键词：
FORMULAS; NUMBERS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Three general classes of series for 1/pi are derived, one for each of the three index 2 subgroups lying between Gamma(0)(10) and its normalizer in SL2(R)
引用
收藏
页码：59 / 76
页数：18
相关论文
共 50 条
  • [1] Rational analogues of Ramanujan's series for 1/π
    Chan, Heng Huat
    Cooper, Shaun
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2012, 153 : 361 - 383
  • [2] WZ pairs and q-analogues of Ramanujan series for 1/
    Guillera, Jesus
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2018, 24 (12) : 1871 - 1879
  • [3] A level 16 analogue of Ramanujan series for 1/π
    Lee, Yoonjin
    Park, Yoon Kyung
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 456 (01) : 177 - 194
  • [4] Ramanujan's Series for 1/π: A Survey
    Baruah, Nayandeep Deka
    Berndt, Bruce C.
    Chan, Heng Huat
    AMERICAN MATHEMATICAL MONTHLY, 2009, 116 (07): : 567 - 587
  • [5] On a Ramanujan’s Eisenstein series identity of level fifteen
    E N Bhuvan
    K R Vasuki
    Proceedings - Mathematical Sciences, 2019, 129
  • [6] Ramanujan's Eisenstein series of level 7 and 14
    Vasuki, K. R.
    Veeresha, R. G.
    JOURNAL OF NUMBER THEORY, 2016, 159 : 59 - 75
  • [7] On Ramanujan's Eisenstein series of level 5 and 7
    Pushpa, K.
    Vasuki, K. R.
    JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 2022, 37 (03) : 257 - 272
  • [8] On a Ramanujan's Eisenstein series identity of level fifteen
    Bhuvan, E. N.
    Vasuki, K. R.
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2019, 129 (04):
  • [9] Eisenstein series of level 6 and level 10 with their applications to theta function identities of Ramanujan
    Shankar, A. I. Vijaya
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2022, 28 (03) : 581 - 588
  • [10] A method for proving Ramanujan's series for 1/π
    Guillera, Jesus
    RAMANUJAN JOURNAL, 2020, 52 (02): : 421 - 431
12345