New congruences for l-regular overpartition pairs

被引:0
|
作者
Shivashankar, C. [1 ]
Gireesh, D. S. [2 ]
机构
[1] Vidyavardhalca Coll Engn, Dept Math, Gokulam 3 Stage, Mysuru 570002, India
[2] MS Ramaiah Univ Appl Sci Peenya, Dept Math, Bengaluru 560058, Karnataka, India
关键词
Congruences; Theta function; Overpartition pair; l-regular partition; ARITHMETIC PROPERTIES;
D O I
10.1007/s13370-022-01018-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let (B) over bar (l)(n) denote the number of l-regular overpartition pairs of n. In this paper, we find some Ramanujan like congruences and infinite families of congruences for (B) over bar (l)(n) for l is an element of {3, 4, 5, 8}. For example, for n >= 0 and alpha >= 0, (B) over bar (3)(4(alpha)(+1) (6n + 5)) 0 (mod 9), (B) over bar (3)(12n + 10) 0 (mod 9), (B) over bar (5)(4n + 3) 0 (mod 8) and (B) over bar (8)(16n + 12) 0 (mod 16).
引用
收藏
页数:12
相关论文
共 50 条
  • [1] Arithmetic properties of l-regular overpartition pairs
    Naika, Megadahalli Siddanaika Mahadeva
    Shivashankar, Chandrappa
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2017, 41 (03) : 756 - 774
  • [2] Congruences for l-regular cubic partition pairs
    Naika, M. S. Mahadeva
    Nayaka, S. Shivaprasada
    [J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2018, 67 (03) : 465 - 476
  • [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 PARTITIONS AND BIPARTITIONS
    Cui, Su-Ping
    Gu, Nancy S. S.
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (02) : 513 - 526
  • [5] New congruences for overpartitions with l-regular overlined parts
    Buragohain, Pujashree
    Saikia, Nipen
    [J]. JOURNAL OF ANALYSIS, 2023, 31 (03): : 1819 - 1837
  • [6] Congruences for some l-regular partitions modulo l
    Xia, Ernest X. W.
    [J]. JOURNAL OF NUMBER THEORY, 2015, 152 : 105 - 117
  • [7] Congruences for l-regular overpartitions into odd parts
    Shivashankar, C.
    Gireesh, D. S.
    [J]. BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2022, 28 (01):
  • [8] Rank and congruences for overpartition pairs
    Bringmann, Kathrin
    Lovejoy, Jeremy
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2008, 4 (02) : 303 - 322
  • [9] Congruences for l-regular partition functions modulo 3
    Furcy, David
    Penniston, David
    [J]. RAMANUJAN JOURNAL, 2012, 27 (01): : 101 - 108
  • [10] 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