Infinite Families of Congruences Modulo 5 for Ramanujan's General Partition Function
Number Theory
2020-08-17 v1
Abstract
For any non-negative integer and non-zero integer , let denote Ramanujan's general partition function. By employing -identities, we prove some new Ramanujan-type congruences modulo 5 for for , , and any integer .
Cite
@article{arxiv.2008.06398,
title = {Infinite Families of Congruences Modulo 5 for Ramanujan's General Partition Function},
author = {Nipen Saikia and Jubaraj Chetry},
journal= {arXiv preprint arXiv:2008.06398},
year = {2020}
}
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6 Pages