Congruences for restricted plane overpartitions modulo 4 and 8

被引:0
|
作者
Al-Saedi, Ali H. [1 ,2 ]
机构
[1] Oregon State Univ, Corvallis, OR 97331 USA
[2] Al Mustansiriya Univ, Baghdad, Iraq
来源
RAMANUJAN JOURNAL | 2019年 / 48卷 / 02期
关键词
Partitions; Overpartitions; Plane partitions; Plane overpartitions; PARTITION-FUNCTIONS; MINIMUM PERIODS; PERIODICITIES; COEFFICIENTS; PROOF; RANK;
D O I
10.1007/s11139-018-0036-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In 2009, Corteel, Savelief and Vuleti generalized the concept of overpartitions to a new object called plane overpartitions. In recent work, the author considered a restricted form of plane overpartitions called k-rowed plane overpartitions and proved a method to obtain congruences for these and other types of combinatorial generating functions. In this paper, we prove several restricted and unrestricted plane overpartition congruences modulo 4 and 8 using other techniques.
引用
收藏
页码:251 / 277
页数:27
相关论文
共 50 条
  • [1] Congruences for restricted plane overpartitions modulo 4 and 8
    Ali H. Al-Saedi
    [J]. The Ramanujan Journal, 2019, 48 : 251 - 277
  • [2] A characterization of congruences modulo 4 on a SPT function of overpartitions
    Olivia X. M. Yao
    [J]. The Ramanujan Journal, 2023, 60 : 795 - 808
  • [3] A characterization of congruences modulo 4 on a SPT function of overpartitions
    Yao, Olivia X. M.
    [J]. RAMANUJAN JOURNAL, 2023, 60 (03): : 795 - 808
  • [4] NEW CONGRUENCES MODULO 5 FOR OVERPARTITIONS
    Zhao, Tao Yan
    Jin, Lily J.
    [J]. COLLOQUIUM MATHEMATICUM, 2016, 145 (02) : 285 - 290
  • [5] Congruences modulo 9 for singular overpartitions
    Shen, Erin Y. Y.
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2017, 13 (03) : 717 - 724
  • [6] Explicit congruences modulo 2048 for overpartitions
    Xue, Fanggang
    Yao, Olivia X. M.
    [J]. RAMANUJAN JOURNAL, 2021, 54 (01): : 63 - 77
  • [7] Congruences modulo 9 and 27 for overpartitions
    Ernest X. W. Xia
    [J]. The Ramanujan Journal, 2017, 42 : 301 - 323
  • [8] Congruences modulo 64 and 1024 for overpartitions
    Yao, Olivia X. M.
    [J]. RAMANUJAN JOURNAL, 2018, 46 (01): : 1 - 18
  • [9] Congruences modulo 64 and 1024 for overpartitions
    Olivia X. M. Yao
    [J]. The Ramanujan Journal, 2018, 46 : 1 - 18
  • [10] Congruences modulo 9 and 27 for overpartitions
    Xia, Ernest X. W.
    [J]. RAMANUJAN JOURNAL, 2017, 42 (02): : 301 - 323