CONCERNING THE CONJUGATE OF A PARTITION

Print ISSN: 0972-7752

Abstract

We develop an algebraic formula for the conjugate of a partition. As an immediate consequence, we obtain an alternate proof for the known result that the number of distinct parts of a partition is invariant under conjugation. In addition, we present a theorem concerning the multiplicities of the parts of a partition.

Keywords and Phrases

Conjugate partition, distinct partition.

A.M.S. subject classification

11P81

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