Daniel BerhanuGosa Tekola2025-08-312025-08-312016-09https://etd.aau.edu.et/handle/123456789/7241Despite the definition of integer partition function is simple, many results on integer partitions can be shockingly difficult to obtain. The thesis comprises of introductory properties and topic ofsome recurrence relations for additive partition functions. In particular, it provides a formula for p(z) to find the number of partitions of positive integer z .We proved some recurrence relations for restricted partition functions. At the end, a chart showing values of of p (z) for integers 1< Z > 280 is included.en-USSome Recurrence RelationsPartition FunctionsThesis