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Abstract
The partitions of a positive integer n in which the parts are in arithmetic progression possess interesting combinatorial properties that distinguish them from other classes of partitions. We exhibit the properties by analyzing partitions with respect to a fixed length of the arithmetic progressions. We also address an open question concerning the number of integers k for which there is a k-partition of n with parts in arithmetic progression.
Received: 2009-02-09
Revised: 2009-11-18
Accepted: 2009-11-24
Published Online: 2010-03-19
Published in Print: 2010-March
© de Gruyter 2010
