Adiga, Chandrashekar and Ranganatha, D.
(2018)
*Congruences for 7 and 49-regular partitions modulo powers of 7.*
The Ramanujan Journal, 46 (3).
pp. 821-833.
ISSN 1572-9303

Text (Full Text)
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Official URL: https://doi.org/10.1007/s11139-017-9936-z

## Abstract

Let bk(n) denote the number of k-regular partitions of n. In this paper, we prove Ramanujan-type congruences modulo powers of 7 for b7(n) and b49(n). For example, for all j≥1 and n≥0, we prove that b7(72j−1n+3⋅72j−1−14)≡0(mod7j) and b49(7jn+7j−2)≡0(mod7j).

Item Type: | Article |
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Subjects: | E Mathematical Science > Mathematics |

Divisions: | Department of > Mathematics |

Depositing User: | Manjula P Library Assistant |

Date Deposited: | 08 Jul 2019 07:48 |

Last Modified: | 11 Aug 2022 06:48 |

URI: | http://eprints.uni-mysore.ac.in/id/eprint/4877 |

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