Overpartition pairs

被引：20
|
作者：
Lovejoy, Jeremy [1 ]
机构：
[1] Univ Paris 07, CNRS, LIAFA, F-75251 Paris 05, France
来源：
ANNALES DE L INSTITUT FOURIER | 2006年 / 56卷 / 03期
关键词：
partitions; overpartitions; basic hypergeometric series; Bailey chains;
D O I：
10.5802/aif.2199
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An overpartition pair is a combinatorial object associated with the q-Gauss identity and the (1)psi(1) summation. In this paper, we prove identities for certain restricted overpartition pairs using Andrews' theory of recurrences for well-poised basic hypergeometric series and the theory of Bailey chains.
引用
收藏
页码：781 / 794
页数：14
相关论文
共 50 条
  • [1] Arithmetic properties of overpartition pairs
    Chen, William Y. C.
    Lin, Bernard L. S.
    [J]. ACTA ARITHMETICA, 2012, 151 (03) : 263 - 277
  • [2] Rank and congruences for overpartition pairs
    Bringmann, Kathrin
    Lovejoy, Jeremy
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2008, 4 (02) : 303 - 322
  • [3] Congruences for Andrews singular overpartition pairs
    Naika, M. S. Mahadeva
    Shivashankar, C.
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2018, 14 (04) : 989 - 1008
  • [4] Overpartition pairs modulo powers of 2
    Kim, Byungchan
    [J]. DISCRETE MATHEMATICS, 2011, 311 (10-11) : 835 - 840
  • [5] Arithmetic Properties of Overpartition Pairs into Odd Parts
    Lin, Bernard L. S.
    [J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2012, 19 (02):
  • [6] Andrews Singular Overpartition Pairs with Odd Parts
    M. S. Mahadeva Naika
    Harishkumar Thippeswamy
    [J]. Vietnam Journal of Mathematics, 2023, 51 : 311 - 328
  • [7] Andrews Singular Overpartition Pairs with Odd Parts
    Naika, M. S. Mahadeva
    Thippeswamy, Harishkumar
    [J]. VIETNAM JOURNAL OF MATHEMATICS, 2023, 51 (02) : 311 - 328
  • [8] New congruences for l-regular overpartition pairs
    Shivashankar, C.
    Gireesh, D. S.
    [J]. AFRIKA MATEMATIKA, 2022, 33 (03)
  • [9] Some New Congruences for Andrews’ Singular Overpartition Pairs
    Naika M.S.M.
    Nayaka S.S.
    [J]. Vietnam Journal of Mathematics, 2018, 46 (3) : 609 - 628
  • [10] DIVISIBILITY AND ARITHMETIC PROPERTIES OF CERTAIN ℓ-REGULAR OVERPARTITION PAIRS
    Anand, Anusree
    Fathima, S. N.
    Sriraj, M. A.
    Reddy, P. Siva Kota
    [J]. JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2024, 42 (04): : 969 - 983
12345