A partition of n is a division of n into any number of positive integral parts. Then the sum of the integral parts is n. The order of the parts and arrangement in a division of n are irrelevant and the parts are arranged in descending order. We denote the number of partitions of n by P(n). We introduce a brief survey of Ramanujan's partitions congruences. We mainly concern with combinatorial aspects of the congruences moduli 5, 7 in terms of the rank and crank of vector partitions separately.

Autorentext

Sabuj Das has awarded M. Phil degree from University of Chittagong, Bangladesh. At present he is working for PhD degree. He is an author of various articles published in reputed journals. He is a Senior Lecturer of Mathematics.