Partition results related to a special case of Jacobi's triple product identity

被引:0
|
作者
Kolitsch, Louis W. [1 ]
机构
[1] Univ Tennessee Martin, Dept Math & Stat, Martin, TN 38237 USA
来源
RAMANUJAN JOURNAL | 2025年 / 67卷 / 02期
关键词
Jacobi's triple product identity; Partitions; Overpartitions; PROOF;
D O I
10.1007/s11139-025-01077-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper some partition results related to a special case of Jacobi's Triple Product Identity will be presented. These results will be presented both algebraically and combinatorially.
引用
收藏
页数:9
相关论文
共 48 条
  • [1] A combinatorial proof of Jacobi’s triple product identity
    Louis W. Kolitsch
    Stephanie Kolitsch
    The Ramanujan Journal, 2018, 45 : 483 - 489
  • [2] A combinatorial proof of Jacobi's triple product identity
    Kolitsch, Louis W.
    Kolitsch, Stephanie
    RAMANUJAN JOURNAL, 2018, 45 (02): : 483 - 489
  • [3] Truncated theta series related to the Jacobi Triple Product identity
    Ballantine, Cristina
    Feigon, Brooke
    DISCRETE MATHEMATICS, 2025, 348 (02)
  • [4] TRUNCATED THETA SERIES RELATED TO THE JACOBI TRIPLE PRODUCT IDENTITY
    Ballantine, Cristina
    Feigon, Brooke
    arXiv,
  • [5] A Family of Theta-Function Identities Based upon Combinatorial Partition Identities Related to Jacobi's Triple-Product Identity
    Srivastava, Hari Mohan
    Srivastava, Rekha
    Chaudhary, Mahendra Pal
    Uddin, Salah
    MATHEMATICS, 2020, 8 (06)
  • [6] Jacobi's triple product identity and theta function identities
    Chu, Wenchang
    Yan, Qinglun
    MATHEMATICAL COMMUNICATIONS, 2011, 16 (01) : 191 - 203
  • [7] Two generalizations of Jacobi’s triple product identity and their applications
    Chuanan Wei
    Yuanbo Yu
    Qiuxia Hu
    The Ramanujan Journal, 2023, 60 : 925 - 937
  • [8] Two generalizations of Jacobi's triple product identity and their applications
    Wei, Chuanan
    Yu, Yuanbo
    Hu, Qiuxia
    RAMANUJAN JOURNAL, 2023, 60 (04): : 925 - 937
  • [9] Some arithmetical consequences of Jacobi's triple product identity
    Duverney, D
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1997, 122 : 393 - 399
  • [10] A Family of Theta-Function Identities Related to Jacobi’s Triple-Product Identity
    H. M. Srivastava
    M. P. Chaudhary
    S. Chaudhary
    Russian Journal of Mathematical Physics, 2020, 27 : 139 - 144