Congruences for 5-Regular Partitions with Odd Parts Overlined

Authors

  • M. S. Mahadeva Naika
  • Harishkumar T.

DOI:

https://doi.org/10.47013/15.3.5

Keywords:

Congruences, regular partitions, over partitions.

Abstract

Received on: Jan. 12, 2021; 
Accepted on: April 14, 2022

Let ā5(n) denote the number of 5-regular partitions of n with the first occurrence of an odd number may be overlined. In this paper, we establish many infinite families of congruences modulo powers of 2 for ā5(n). For example, for all n ≥ 0 and β ≥ 0 .............

 

Cited by : Jordan J. Math & Stat., 15 (3A) (2022), 445 - 465

Author Biographies

M. S. Mahadeva Naika

Department of Mathematics, Bengaluru City University, Central College Campus, Bengaluru-560 001, Karnataka, India

Harishkumar T.

Department of Mathematics, Bangalore University, Central College Campus, Bengaluru-560 001, Karnataka, India

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Published

2023-01-14

How to Cite

Naika , M. S. M., & T., H. (2023). Congruences for 5-Regular Partitions with Odd Parts Overlined. Jordan Journal of Mathematics and Statistics, 15(3), 445–465. https://doi.org/10.47013/15.3.5

Issue

Vol. 15 No. 3 (2022)

Section

Articles