RAMANUJAN-TYPE CONGRUENCES FOR SEVERAL PARTITION FUNCTIONS

被引：1
|
作者：
Zhang, Wenlong [1 ]
Wang, Chun [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2014年 / 10卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Ramanujan-type congruences; partition functions; Jacobi's identity;
D O I：
10.1142/S1793042113501145
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Inspired by the recent work of Baruah and Ojah, we investigate several partition functions and establish some interesting Ramanujan-type congruences.
引用
收藏
页码：641 / 652
页数：12
相关论文
共 50 条
  • [1] On Ramanujan-type congruences for multiplicative functions
    Craig, William
    Merca, Mircea
    [J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2022, 116 (03)
  • [2] On Ramanujan-type congruences for multiplicative functions
    William Craig
    Mircea Merca
    [J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, 116
  • [3] Ramanujan-type congruences for certain generating functions
    Chen, Shi-Chao
    [J]. LITHUANIAN MATHEMATICAL JOURNAL, 2013, 53 (04) : 381 - 390
  • [4] Ramanujan-type congruences for certain generating functions
    Shi-Chao Chen
    [J]. Lithuanian Mathematical Journal, 2013, 53 : 381 - 390
  • [5] Ramanujan-type congruences modulo 8 for 7-and 23-core partition functions
    Xia, Ernest X. W.
    Yao, Olivia X. M.
    [J]. RAMANUJAN JOURNAL, 2018, 47 (01): : 221 - 235
  • [6] Ramanujan-type congruences modulo 8 for 7- and 23-core partition functions
    Ernest X. W. Xia
    Olivia X. M. Yao
    [J]. The Ramanujan Journal, 2018, 47 : 221 - 235
  • [7] Relations among Ramanujan-type congruences II: Ramanujan-type congruences in half-integral weights
    Raum, Martin
    [J]. FORUM MATHEMATICUM, 2023, 35 (03) : 615 - 646
  • [8] Ramanujan-type congruences for partition k-tuples with 5-cores
    Saikia, Manjil P.
    Sarma, Abhishek
    Talukdar, Pranjal
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024,
  • [9] Ramanujan-type congruences for overpartitions modulo 16
    Chen, William Y. C.
    Hou, Qing-Hu
    Sun, Lisa H.
    Zhang, Li
    [J]. RAMANUJAN JOURNAL, 2016, 40 (02): : 311 - 322
  • [10] Ramanujan-type congruences for overpartitions modulo 5
    Chen, William Y. C.
    Sun, Lisa H.
    Wang, Rong-Hua
    Zhang, Li
    [J]. JOURNAL OF NUMBER THEORY, 2015, 148 : 62 - 72
12345