International Journal of Mathematics Trends and Technology
Volume 65 | Issue 12 | Year 2019 | Article Id. IJMTT-V65I12P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I12P505
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.
[1] G. Andrews. Integer partitions. Cambridge, MA: Cambridge University Press, 2004.
[2] I.C. Chahine, & A. Morowah. From vortex mathematics to Smith numbers: Demystifying number structures and establishing sieves using digital roots. Journal of Progressive Research in Mathematics, 15(3), 2744-2757, 2019.
[3] I.C.Chahine, W. Kinuthia. Juxtaposing form, function, and social symbolism: An ethnomathematical analysis of indigenous technologies in the Zulu culture of South Africa. Journal of Mathematics and Culture, 7(1), 1-30, 2013.
[4] G. J. Josef. A Passage to Infinity: The Contribution of Kerala to Modern Mathematics. Thousand Oaks, CA: Sage Publications, 2009
[5] S. Ramanujan. Congruence properties of partitions [Proc. London Math. Soc. (2) 18 (1920), Records for 13 March 1919]. In Collected papers of SrinivasaRamanujan, p. 230. AMS Chelsea Publ., Providence, RI, 2000.
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
PDF 
Abstract 
Keywords 
References 
Citation