RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"

被引:97
作者
Chan, Hei-Chi [1 ]
机构
[1] Univ Illinois, Dept Math Sci, Springfield, IL 62703 USA
关键词
Ramanujan's cubic continued fraction; Ramanujan's "Most Beautiful Identity; EXPLICIT EVALUATIONS;
D O I
10.1142/S1793042110003150
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we prove an analog of Ramanujan's "Most Beautiful Identity". This analog is closely related to Ramanujan's beautiful results involving the cubic continued fraction.
引用
收藏
页码:673 / 680
页数:8
相关论文
共 31 条
  • [11] SOME VALUES FOR THE ROGERS-RAMANUJAN CONTINUED-FRACTION
    BERNDT, BC
    CHAN, HH
    [J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1995, 47 (05): : 897 - 914
  • [12] Berndt BC, 2001, ANDREWS FESTSCHRIFT: SEVENTEEN PAPER ON CLASSICAL NUMBER THEORY AND COMBINATORICS, P39
  • [13] BERNDT BC, 1995, ACTA ARITH, V73, P67
  • [14] Berndt BC., 2004, Number Theory in the Spirit of Ramanujan
  • [15] Bhargava S, 2004, INDIAN J PURE AP MAT, V35, P1003
  • [16] CHAN HC, 2008, DISTRIBUTION CERTAIN
  • [17] CHAN HC, INT J NUMBE IN PRESS
  • [18] Ramanujan's cubic continued fraction revisited
    Chan, Heng Huat
    Loo, Kok Ping
    [J]. ACTA ARITHMETICA, 2007, 126 (04) : 305 - 313
  • [19] Chu W C, 2004, Classical partition identities and basic hypergeometric series
  • [20] Fine N. J., 1988, Amer. Math. Soc., V27