Illuminating the Applications of Partitions’ Theory:
Ramanujan’s Congruences and Morowah Numbers

Ahmad Morowah; Iman C Chahine

doi:https://doi.org/10.14445/22315373/IJMTT-V65I12P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 12 | Year 2019 | Article Id. IJMTT-V65I12P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I12P505

Illuminating the Applications of Partitions’ Theory: Ramanujan’s Congruences and Morowah Numbers

Ahmad Morowah, Iman C Chahine

Citation :

Ahmad Morowah, Iman C Chahine, "Illuminating the Applications of Partitions’ Theory: Ramanujan’s Congruences and Morowah Numbers," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 12, pp. 44-53, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I12P505

Abstract

In this paper, we explore some notable applications of Partitions’ Theory. Specifically, we highlight the specific contributions of Ramanujancongruences related to the partition function p(n), and we describe what we call Morowah numbers based on the idea of prime partitions. We also generate potential sieves and partition filters using computational rudiments.

Keywords

Partition Theory, Integer partitions, Ramanujan’scongruences, Modular arithmetic, Digital root.

References

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