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

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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 |
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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 |

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