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
  • [31] On 3-Regular Tripartitions
    Adiga, Chandrashekar
    Dasappa, Ranganatha
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2019, 35 (03) : 355 - 368
  • [32] Arithmetic Properties of 9-Regular Partitions with Distinct Odd Parts
    Hemanthkumar, B.
    Bharadwaj, H. S. Sumanth
    Naika, M. S. Mahadeva
    ACTA MATHEMATICA VIETNAMICA, 2019, 44 (03) : 797 - 811
  • [33] Arithmetic Properties of 9-Regular Partitions with Distinct Odd Parts
    B. Hemanthkumar
    H. S. Sumanth Bharadwaj
    M. S. Mahadeva Naika
    Acta Mathematica Vietnamica, 2019, 44 : 797 - 811
  • [34] A 6-tuple Framework for the Current Multi-label Text Categorization
    Fang, Ying
    Huang, He-yan
    INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND ARTIFICIAL INTELLIGENCE (ICCSAI 2014), 2015, : 38 - 42
  • [35] Topological Properties of a 3-Regular Small World Network
    Jia, Huanshen
    Hu, Guona
    Zhao, Haixing
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [36] Almost 3-regular overpartitions
    Ballantine, Cristina
    Merca, Mircea
    RAMANUJAN JOURNAL, 2022, 58 (03): : 957 - 971
  • [37] Almost 3-regular overpartitions
    Cristina Ballantine
    Mircea Merca
    The Ramanujan Journal, 2022, 58 : 957 - 971
  • [38] 3-REGULAR PARTS OF 4-REGULAR GRAPHS
    TASHKINOV, VA
    MATHEMATICAL NOTES, 1984, 36 (1-2) : 612 - 623
  • [39] On 3-regular digraphs of girth 4
    Ngo Dac Tan
    DISCRETE MATHEMATICS, 2020, 343 (0I)
  • [40] 3-REGULAR SUBGRAPHS OF 4-REGULAR GRAPHS
    CHVATAL, V
    FLEISCHNER, H
    SHEEHAN, J
    THOMASSEN, C
    JOURNAL OF GRAPH THEORY, 1979, 3 (04) : 371 - 386
12345