Adiga, Chandrashekar and Mahadeva Naika, M. S. and Ranganatha, D. and Shivashankar, C. (2018) Congruences modulo 8 for (2,k)-regular overpartitions for odd k>1. Arabian Journal of Mathematics, 7 (2). pp. 61-75. ISSN 2193-5351
![[img]](http://eprints.uni-mysore.ac.in/style/images/fileicons/text.png) |
Text (Full Text)
Congruences modulo8for(2,k).pdf - Published Version Download (536kB) |
Official URL: https://doi.org/10.1007/s40065-017-0195-z
Abstract
In this paper, we study various arithmetic properties of the function p¯¯¯2,k(n), which denotes the number of (2,k)-regular overpartitions of n with odd k>1. We prove several infinite families of congruences modulo 8 for p¯¯¯2,k(n). For example, we find that for all non-negative integers β,n and k≡1(mod8), p¯¯¯2,k(21+β(16n+14))≡ 0(mod8).
| Item Type: | Article |
|---|---|
| Subjects: | E Mathematical Science > Mathematics |
| Divisions: | Department of > Mathematics |
| Depositing User: | Manjula P Library Assistant |
| Date Deposited: | 26 Jul 2019 07:19 |
| Last Modified: | 08 Jul 2022 09:50 |
| URI: | http://eprints.uni-mysore.ac.in/id/eprint/5576 |
Actions (login required)
 |
View Item |
