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arXiv:2004.09505 [math.NT]AbstractReferencesReviewsResources

A Complete Solution of the Partitions of a Number into Arithmetic Progressions

F. Javier de Vega

Published 2020-04-20Version 1

The paper solves the enumeration of the set AP($n$) of partitions of a positive integer $n$ in which the nondecreasing sequence of parts form an arithmetic progression. In particular, we prove a formula for the number of arithmetic progressions of positive, integers, nondecreasing with sum $n$. We also present an explicit method to calculate all the partitions of AP($n$).

Comments: 9 pages; added notes for helping the referee. arXiv admin note: text overlap with arXiv:2003.13378
Categories: math.NT
Subjects: 11P81
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