Strictly Chained (p,q)-Ary Partitions

Laurent Imbert 1, 2, * Fabrice Philippe 2
* Corresponding author
2 ARITH - Arithmétique informatique
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
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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Submitted on : Monday, May 25, 2009 - 4:45:42 AM
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Laurent Imbert, Fabrice Philippe. Strictly Chained (p,q)-Ary Partitions. [Research Report] RR-09013, Lirmm. 2009. ⟨lirmm-00387237⟩

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