Augustine O. Munagi

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A collection {S 1 ,S 2 ,...} of nonempty sets is called a complementing system of subsets for a set X of nonnegative integers if every element of X can be uniquely expressed as a sum of elements of the sets S 1 ,S 2 ,.... We present a complete characterization of all complementing systems of subsets for the set of the first n nonnegative integers as well as(More)
We consider new properties of the combinatorial objects known as overpartitions (which are natural generalizations of integer partitions). In particular, we establish an infinite set of Ramanujan-type congruences for the restricted overpartitions known as`-regular overpartitions. This significantly extends the recent work of Shen which focused solely on(More)