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Some problems in partitio numerorum

Published online by Cambridge University Press:  09 April 2009

P. Erdös  and
J. H. Loxton
P. Erdös
Affiliation:
Mathematical InstituteHungarian Academy of Science Budapest Humgary
J. H. Loxton
Affiliation:
School of MathematicsUniversity of New South Wales Kensington, N.S.W., Australia
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Abstract

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We consider some unconventional partition problems in which the parts of the partition are restricted by divisibility conditions, for example, partitions n = a1+…+ak into positive integers a1, …, ak such that a1 ∣ a2 ∣ … ∣ ak. Some rather weak estimates for the various partition functions are obtained.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 27 , Issue 3 , May 1979 , pp. 319 - 331
Copyright
Copyright © Australian Mathematical Society 1979

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