Partitions and Compositions

Main Article Content

R. Sengothai

Abstract

I shall define the Partition and Composition of a positive integer n in this paper. We shall discuss the way to find the compositions of n and introduce the generating function for partition of n. I shall introduce Ferrer’s graph to represent the partition and give some of the remarkable theorems in partition. I shall discuss about the various congruencies given by Srinivasa Ramanujan and present the Rogers-Ramanujan Partition Theorem (Without Proof). Finally, I had given the table for partitions for the first 100 natural numbers.

Article Details

How to Cite
, R. S. “Partitions and Compositions”. International Journal on Recent and Innovation Trends in Computing and Communication, vol. 4, no. 11, Nov. 2016, pp. 22-27, doi:10.17762/ijritcc.v4i11.2597.
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