Arithmetic properties of 5-regular partition in three and five colours

被引:0
|
作者
Rahman, Riyajur [1 ]
Saikia, Nipen [1 ]
机构
[1] Rajiv Gandhi Univ, Dept Math, Rono Hills, Doimukh 791112, Arunachal Prade, India
来源
JOURNAL OF ANALYSIS | 2022年 / 30卷 / 04期
关键词
5-regular partition; Three and five colour; Congruence; q-series; 3-REGULAR PARTITIONS;
D O I
10.1007/s41478-022-00409-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Silva and Sellers (2021) proved some infinite families of congrueces of 3-regular partition in three colors. In this paper, we prove some infinite families of congruences for 5-regular partition in three and five colours.
引用
收藏
页码:1427 / 1438
页数:12
相关论文
共 50 条
  • [41] Zero-Sum 6-Flows in 5-Regular Graphs
    Fan Yang
    Xiangwen Li
    Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42 : 1319 - 1327
  • [42] On arithmetic properties of binary partition polynomials
    Ulas, Maciej
    Zmija, Blazej
    ADVANCES IN APPLIED MATHEMATICS, 2019, 110 : 153 - 179
  • [43] Arithmetic properties of overcubic partition pairs
    Lin, Bernard L. S.
    ELECTRONIC JOURNAL OF COMBINATORICS, 2014, 21 (03):
  • [44] Almost all 5-regular graphs have a 3-flow
    Pralat, Pawel
    Wormald, Nick
    JOURNAL OF GRAPH THEORY, 2020, 93 (02) : 147 - 156
  • [45] Zero-Sum 6-Flows in 5-Regular Graphs
    Yang, Fan
    Li, Xiangwen
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (04) : 1319 - 1327
  • [46] ARITHMETIC PROPERTIES OF AUTOMATA - REGULAR SEQUENCES
    LOXTON, JH
    VANDERPOORTEN, AJ
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1988, 392 : 57 - 69
  • [47] Arithmetic properties of the iterates of regular automorphisms
    Marcello, S
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2000, 331 (01): : 11 - 16
  • [48] Arithmetic properties of cubic and overcubic partition pairs
    Ray, Chiranjit
    Barman, Rupam
    RAMANUJAN JOURNAL, 2020, 52 (02): : 243 - 252
  • [49] FURTHER ARITHMETIC PROPERTIES OF OVERCUBIC PARTITION TRIPLES
    Saikia, Manjil P.
    Sarma, Abhishek
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2025,
  • [50] Arithmetic properties of cubic and overcubic partition pairs
    Chiranjit Ray
    Rupam Barman
    The Ramanujan Journal, 2020, 52 : 243 - 252