COMBINATORIAL IDENTITIES FOR l-REGULAR OVERPARTITIONS

被引：0
|
作者：
Alanazi, Abdulaziz M. [1 ]
Munagi, Augustine O. [2 ]
机构：
[1] Univ Witwatersrand, Sch Math, Johannesburg, South Africa
[2] Univ Witwatersrand, John Knopfmacher Ctr Applicable Anal & Number The, Johannesburg, South Africa
来源：
ARS COMBINATORIA | 2017年 / 130卷
关键词：
regular partition; overpartition; generating function; bijection; congruence;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We explore new combinatorial properties of overpartitions which are natural generalizations of integer partitions. Building on recent work we state general combinatorial identities between standard partition, overpartition and l-regular partition, functions. We provide both generating function and bijective proofs. We also prove the congruences for certain overpartition functions combinatorially.
引用
收藏
页码：55 / 66
页数：12
相关论文
共 50 条
  • [1] On the number of l-regular overpartitions
    Hao, Robert X. J.
    Shen, Erin Y. Y.
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2021, 17 (09) : 2153 - 2173
  • [2] Arithmetic properties of l-regular overpartitions
    Shen, Erin Y. Y.
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2016, 12 (03) : 841 - 852
  • [3] NEW CONGRUENCES FOR l-REGULAR OVERPARTITIONS
    Jindal, Ankita
    Meher, Nabin K.
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2022, 59 (05) : 945 - 962
  • [4] Congruences for l-regular overpartitions into odd parts
    Shivashankar, C.
    Gireesh, D. S.
    [J]. BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2022, 28 (01):
  • [5] Congruences modulo powers of 2 for l-regular overpartitions
    Adiga, Chandrashekar
    Ranganatha, D.
    [J]. JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 2017, 32 (02) : 147 - 163
  • [6] Certain eta-quotients and l-regular overpartitions
    Ray, Chiranjit
    Chakraborty, Kalyan
    [J]. RAMANUJAN JOURNAL, 2022, 57 (02): : 453 - 470
  • [7] New congruences for overpartitions with l-regular overlined parts
    Buragohain, Pujashree
    Saikia, Nipen
    [J]. JOURNAL OF ANALYSIS, 2023, 31 (03): : 1819 - 1837
  • [8] Congruences for overpartitions with l-regular over-lined parts
    Shivanna, Gireesh Dapparthi
    Chandrappa, Shivashankar
    [J]. JOURNAL OF ANALYSIS, 2023, 31 (01): : 459 - 474
  • [9] Arithmetic properties of l-regular partitions and l-regular bipartitions
    Shruthi, B. R. Srivatsa
    Kumar, B. R. Srivatsa
    [J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024,
  • [10] On l-regular bipartitions modulo l
    Kathiravan, T.
    Fathima, S. N.
    [J]. RAMANUJAN JOURNAL, 2017, 44 (03): : 549 - 558
12345