1 citations · 1 across the 4 of their papers we have counts for
4 papers
Modulo 2 congruences for partitions with initial repetitions
Darlison Nyirenda, Beaullah Mugwangwavari
Motivated by Andrews' partitions with initial repetitions, we derive parity formulas for several functions for this class of partitions. In many cases, we present an infinite famil…
Legendre theorems for a class of partitions with initial repetitions
Darlison Nyirenda, Beaullah Mugwangwavari
Partitions with initial repetitions were introduced by George Andrews. We consider a subclass of these partitions and find Legendre theorems associated with their respective partit…
Extensions and variations of Andrews-Merca identities
Darlison Nyirenda, Beaullah Mugwangwavari
Recently, Andrews and Merca have given a new combinatorial interpretation of the total number of even parts in all partitions of n into distinct parts. We generalise this result an…
On generalizations of theorems of MacMahon and Subbarao
Darlison Nyirenda, Beaullah Mugwangwavari
In this paper, we consider various theorems of P.A. MacMahon and M.V. Subbarao. For a non-negative integer , MacMahon proved that the number of partitions of wherein parts h…