Arithmetic properties of 3-regular 6-tuple partitions

被引：0
|
作者：
Murugan, P. [1 ]
Fathima, S. N. [1 ]
机构：
[1] Pondicherry Univ, Dept Math, Pondicherry 605014, India
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2023年 / 54卷 / 04期
关键词：
Partition; Congruence; Modular forms; Hecke eigenforms; Eta quotients; MODULO POWERS; CONGRUENCES;
D O I：
10.1007/s13226-022-00338-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The objective of this paper is primarily on the study of various properties of the infinite family of congruences and divisibility for BS3(n) with the assistance of Hecke eigenforms and certain properties of modular forms which are generally arithmetic in nature. For n being a positive integer, BS3(n) represents its 3-regular 6-tuple partitions.
引用
收藏
页码：1249 / 1261
页数：13
相关论文
共 50 条
  • [1] Arithmetic properties of 3-regular 6-tuple partitions
    P. Murugan
    S. N. Fathima
    Indian Journal of Pure and Applied Mathematics, 2023, 54 : 1249 - 1261
  • [2] Arithmetic properties of 3-regular partitions with distinct odd parts
    V. S. Veena
    S. N. Fathima
    Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2021, 91 : 69 - 80
  • [3] Arithmetic properties of 3-regular partitions with distinct odd parts
    Veena, V. S.
    Fathima, S. N.
    ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2021, 91 (01): : 69 - 80
  • [4] ARITHMETIC PROPERTIES OF 3-REGULAR PARTITIONS IN THREE COLOURS
    Da Silva, Robson
    Sellers, James A.
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021, 104 (03) : 415 - 423
  • [5] Arithmetic Properties of 5-Tuple Partitions with 3-Cores
    Wen, Xin-Qi
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2022, 45 (04) : 1521 - 1543
  • [6] New parity results for 3-regular partitions
    Yao, Olivia X. M.
    QUAESTIONES MATHEMATICAE, 2023, 46 (03) : 465 - 471
  • [7] Arithmetic Properties of 5-Tuple Partitions with 3-Cores
    Xin-Qi Wen
    Bulletin of the Malaysian Mathematical Sciences Society, 2022, 45 : 1521 - 1543
  • [8] On 3-Regular Partitions in 3-Colors
    D. S. Gireesh
    M. S. Mahadeva Naika
    Indian Journal of Pure and Applied Mathematics, 2019, 50 : 137 - 148
  • [9] Arithmetic Properties of Certain t-Regular Partitions
    Barman, Rupam
    Singh, Ajit
    Singh, Gurinder
    ANNALS OF COMBINATORICS, 2024, 28 (02) : 439 - 457
  • [10] Arithmetic Properties of Certain t-Regular Partitions
    Rupam Barman
    Ajit Singh
    Gurinder Singh
    Annals of Combinatorics, 2024, 28 : 439 - 457
12345