CONGRUENCES FOR l - REGULAR OVERPARTITION FOR l ∈{5,6,8}

被引：4
|
作者：
Saikia, Nipen [1 ]
Boruah, Chayanika [1 ]
机构：
[1] Rajiv Gandhi Univ, Dept Math, Rono Hills, Doimukh 791112, Arunachal Prade, India
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2017年 / 48卷 / 02期
关键词：
l-Regular overpartition; partition congruence; Ramanujan's theta-function; PARTITION-FUNCTIONS; POWERS;
D O I：
10.1007/s13226-017-0227-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (A) over bar (l)(n) denote the number of overpartitions of a non-negative integer n with no part divisible by l, where l is a positive integer. In this paper, we prove infinite family of congruences for (A) over bar (5)(n) modulo 4, (A) over bar (6)(n) modulo 3, and (A) over bar (8)(n) modulo 4. In the process, we also prove some other congruences.
引用
收藏
页码：295 / 308
页数：14
相关论文
共 50 条
  • [1] Congruences for ℓ-regular overpartition for ℓ ∈ {5, 6, 8}
    Nipen Saikia
    Chayanika Boruah
    [J]. Indian Journal of Pure and Applied Mathematics, 2017, 48 : 295 - 308
  • [2] New congruences for l-regular overpartition pairs
    Shivashankar, C.
    Gireesh, D. S.
    [J]. AFRIKA MATEMATIKA, 2022, 33 (03)
  • [3] New congruences for l-regular partitions for l ∈{5,6,7,49}
    Ahmed, Zakir
    Baruah, Nayandeep Deka
    [J]. RAMANUJAN JOURNAL, 2016, 40 (03): : 649 - 668
  • [4] Arithmetic properties of l-regular overpartition pairs
    Naika, Megadahalli Siddanaika Mahadeva
    Shivashankar, Chandrappa
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2017, 41 (03) : 756 - 774
  • [5] Congruences for some l-regular partitions modulo l
    Xia, Ernest X. W.
    [J]. JOURNAL OF NUMBER THEORY, 2015, 152 : 105 - 117
  • [6] 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
  • [7] NEW CONGRUENCES FOR l-REGULAR OVERPARTITIONS
    Jindal, Ankita
    Meher, Nabin K.
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2022, 59 (05) : 945 - 962
  • [8] 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
  • [9] Congruences for l-regular overpartitions into odd parts
    Shivashankar, C.
    Gireesh, D. S.
    [J]. BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2022, 28 (01):
  • [10] Quadratic forms and congruences for l-regular partitions modulo 3, 5 and 7
    Hou, Qing-Hu
    Sun, Lisa H.
    Zhang, Li
    [J]. ADVANCES IN APPLIED MATHEMATICS, 2015, 70 : 32 - 44
12345