"SMARANDACHE RECIPROCAL PARTITION OF UNITY SETS AND SEQUENCES"

Partition function P(n) is defined as the number of ways that a positive integer can be expressed as the sum of positive integers. Two partitions are not considered to be different if they differ only in the order of their summands. A number of results concerning the partition function were discovered using analytic functions by Euler, Jacobi, Hardy, Ramanujan and others. Also a number of congruence properties of the function were derived. I