Broken 2-diamond partitions modulo 5

被引：4
|
作者：
Hirschhorn, Michael D. [1 ]
机构：
[1] UNSW, Sch Math & Stat, Sydney, NSW 2052, Australia
来源：
RAMANUJAN JOURNAL | 2018年 / 45卷 / 02期
关键词：
Partitions; Broken; 2-diamonds; Congruences modulo 5;
D O I：
10.1007/s11139-016-9863-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider , the number of broken 2-diamond partitions of n, and give simple proofs of two congruences given by Song Heng Chan.
引用
收藏
页码：517 / 520
页数：4
相关论文
共 50 条
  • [1] Broken 2-diamond partitions modulo 5
    Michael D. Hirschhorn
    [J]. The Ramanujan Journal, 2018, 45 : 517 - 520
  • [2] More infinite families of congruences modulo 5 for broken 2-diamond partitions
    Xia, Ernest X. W.
    [J]. JOURNAL OF NUMBER THEORY, 2017, 170 : 250 - 262
  • [3] Ramanujan-type congruences for broken 2-diamond partitions modulo 3
    CHEN William Y.C.
    FAN Anna R.B.
    YU Rebecca T.
    [J]. Science China Mathematics, 2014, 57 (08) : 1553 - 1560
  • [4] Ramanujan-type congruences for broken 2-diamond partitions modulo 3
    Chen, William Y. C.
    Fan, Anna R. B.
    Yu, Rebecca T.
    [J]. SCIENCE CHINA-MATHEMATICS, 2014, 57 (08) : 1553 - 1560
  • [5] Ramanujan-type congruences for broken 2-diamond partitions modulo 3
    William Y. C. Chen
    Anna R. B. Fan
    Rebecca T. Yu
    [J]. Science China Mathematics, 2014, 57 : 1553 - 1560
  • [6] Congruences modulo 11 for broken 5-diamond partitions
    Liu, Eric H.
    Sellers, James A.
    Xia, Ernest X. W.
    [J]. RAMANUJAN JOURNAL, 2018, 46 (01): : 151 - 159
  • [7] Congruences modulo 11 for broken 5-diamond partitions
    Eric H. Liu
    James A. Sellers
    Ernest X. W. Xia
    [J]. The Ramanujan Journal, 2018, 46 : 151 - 159
  • [8] Elementary proofs of Radu and Sellers’ results for broken 2-diamond partitions
    Bernard L. S. Lin
    Andrew Y. Z. Wang
    [J]. The Ramanujan Journal, 2015, 37 : 291 - 297
  • [9] Elementary proofs of Radu and Sellers' results for broken 2-diamond partitions
    Lin, Bernard L. S.
    Wang, Andrew Y. Z.
    [J]. RAMANUJAN JOURNAL, 2015, 37 (02): : 291 - 297
  • [10] Some congruences for Andrews-Paule's broken 2-diamond partitions
    Chan, Song Heng
    [J]. DISCRETE MATHEMATICS, 2008, 308 (23) : 5735 - 5741
12345