Partitions and Compositions

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.