Some congruences modulo 5 and 25 for overpartitions

被引:6
|
作者
Chern, Shane [1 ]
Dastidar, Manosij Ghosh [2 ]
机构
[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA
[2] Pondicherry Univ, Dept Math Sci, Kalapet 605014, Puducherry, India
来源
RAMANUJAN JOURNAL | 2018年 / 47卷 / 02期
关键词
Overpartitions; Ramanujan-type congruence; Ramanujan's theta function; POWERS;
D O I
10.1007/s11139-017-9960-z
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present two new Ramanujan-type congruences modulo 5 for overpartitions. We also give an affirmative answer to a conjecture of Dou and Lin, which includes four congruences modulo 25 for overpartition.
引用
收藏
页码:435 / 445
页数:11
相关论文
共 50 条
  • [1] Some congruences modulo 5 and 25 for overpartitions
    Shane Chern
    Manosij Ghosh Dastidar
    [J]. The Ramanujan Journal, 2018, 47 : 435 - 445
  • [2] NEW CONGRUENCES MODULO 5 FOR OVERPARTITIONS
    Zhao, Tao Yan
    Jin, Lily J.
    [J]. COLLOQUIUM MATHEMATICUM, 2016, 145 (02) : 285 - 290
  • [3] 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
  • [4] New Ramanujan type congruences modulo 5 for overpartitions
    Dou, Donna Q. J.
    Lin, Bernard L. S.
    [J]. RAMANUJAN JOURNAL, 2017, 44 (02): : 401 - 410
  • [5] New Ramanujan type congruences modulo 5 for overpartitions
    Donna Q. J. Dou
    Bernard L. S. Lin
    [J]. The Ramanujan Journal, 2017, 44 : 401 - 410
  • [6] Congruences modulo 9 for singular overpartitions
    Shen, Erin Y. Y.
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2017, 13 (03) : 717 - 724
  • [7] Explicit congruences modulo 2048 for overpartitions
    Xue, Fanggang
    Yao, Olivia X. M.
    [J]. RAMANUJAN JOURNAL, 2021, 54 (01): : 63 - 77
  • [8] Congruences modulo 64 and 1024 for overpartitions
    Yao, Olivia X. M.
    [J]. RAMANUJAN JOURNAL, 2018, 46 (01): : 1 - 18
  • [9] Congruences modulo 9 and 27 for overpartitions
    Ernest X. W. Xia
    [J]. The Ramanujan Journal, 2017, 42 : 301 - 323
  • [10] Congruences modulo 64 and 1024 for overpartitions
    Olivia X. M. Yao
    [J]. The Ramanujan Journal, 2018, 46 : 1 - 18