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Journal Articles Contributions to Discrete Mathematics Year : 2010

Strictly Chained (p, q)-ary Partitions

Laurent Imbert
Fabrice Philippe

Abstract

We consider a special type of integer partitions in which the parts of the form p^a*q^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.
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lirmm-00595209 , version 1 (24-05-2011)

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Laurent Imbert, Fabrice Philippe. Strictly Chained (p, q)-ary Partitions. Contributions to Discrete Mathematics, 2010, 5 (2), pp.119-136. ⟨10.11575/cdm.v5i2.61924⟩. ⟨lirmm-00595209⟩
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