Vanishing coefficients and identities concerning Ramanujan’s parameters

被引：0
|
作者：
Shane Chern
Dazhao Tang
机构：
[1] Penn State University,Department of Mathematics
[2] Tianjin University,Center for Applied Mathematics
来源：
The Ramanujan Journal | 2022年 / 57卷
关键词：
Vanishing coefficients; Rogers–Ramanujan continued fraction; Ramanujan’s parameters; Ramanujan’s Lost Notebook; 11F27; 30B10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we investigate several infinite products with vanishing Taylor coefficients in arithmetic progressions. These infinite products are closely related to Ramanujan’s parameters introduced in his Lost Notebook. Also, a handful of new identities involving these parameters will be established.
引用
收藏
页码：1367 / 1385
页数：18
相关论文
共 50 条
  • [1] Vanishing coefficients and identities concerning Ramanujan's parameters
    Chern, Shane
    Tang, Dazhao
    RAMANUJAN JOURNAL, 2022, 57 (04): : 1367 - 1385
  • [2] THETA-FUNCTION IDENTITIES OF RAMANUJAN'S CONTINUED FRACTIONS OF ORDER FOURTEEN AND TWENTY-EIGHT, PARTITION IDENTITIES AND VANISHING COEFFICIENTS
    Rajkhowa, Shraddha
    Saikia, Nipen
    FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2024, 70 (02) : 233 - 244
  • [3] On the vanishing coefficients of odd powers of Ramanujan's theta functions
    Liu, Ji-Cai
    RAMANUJAN JOURNAL, 2024, 65 (01): : 45 - 52
  • [4] Some Identities of Ramanujan’s q-Continued Fractions of Order Fourteen and Twenty-Eight, and Vanishing Coefficients
    Rajkhowa, Shraddha
    Saikia, Nipen
    arXiv, 2023,
  • [5] On Plouffe's Ramanujan identities
    Vepstas, Linas
    RAMANUJAN JOURNAL, 2012, 27 (03): : 387 - 408
  • [6] On Plouffe’s Ramanujan identities
    Linas Vepštas
    The Ramanujan Journal, 2012, 27 : 387 - 408
  • [7] Some Congruences for the Coefficients of Rogers-Ramanujan Type Identities
    Gupta, Vasudha
    Rana, Meenakshi
    MATHEMATICS, 2022, 10 (19)
  • [8] Identities and congruences for Ramanujan's ω(q)
    Bruinier, Jan H.
    Ono, Ken
    RAMANUJAN JOURNAL, 2010, 23 (1-3): : 151 - 157
  • [9] Analogues of Ramanujan's partition identities
    Xia, Ernest X. W.
    Yao, Olivia X. M.
    RAMANUJAN JOURNAL, 2013, 31 (03): : 373 - 396
  • [10] Analogues of Ramanujan’s partition identities
    Ernest X. W. Xia
    Olivia X. M. Yao
    The Ramanujan Journal, 2013, 31 : 373 - 396
12345