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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 13, Issue 1, Pages 109 - 114 (February 2009)

SOME RESULTS CONCERNING PARTITIONS OF A GIVEN RANK

Neville Robbins (USA)

Abstract:

The rank of a partition is the largest part less the number of parts. We present several theorems concerning (i) the number of partitions with a given rank; (ii) the number of partitions into distinct parts with a given rank.

Keywords and phrases:

rank of a partition.

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