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Strictly Chained (p, q)-ary Partitions

Laurent Imbert 1 Fabrice Philippe 1
1 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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Contributor : Laurent Imbert <>
Submitted on : Tuesday, May 24, 2011 - 10:18:13 AM
Last modification on : Wednesday, October 9, 2019 - 9:42:02 AM


  • HAL Id : lirmm-00595209, version 1



Laurent Imbert, Fabrice Philippe. Strictly Chained (p, q)-ary Partitions. Contributions to Discrete Mathematics, University of Calgary, 2010, 5 (2), pp.119-136. ⟨lirmm-00595209⟩



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