Strictly chained (p,q)-ary partitions

Laurent Imbert, Fabrice Philippe

Published 2012-12-01Version 1

We consider a special type of integer partitions in which the parts of the form $p^aq^b$, for some relatively prime integers $p$ and $q$, are restricted by divisibility conditions. We investigate the problems of generating and encoding those partitions and give some estimates for several partition functions.