UNEVEN FROBENIUS REPRESENTATIONS OF PARTITIONS USING 3 AND 4 COLORS

Print ISSN: 0972-7752

Abstract

In this paper we will look at some Frobenius representations where the top and bottom rows are not the same length. These uneven Frobenius representations are associated with the generating functions for 3- and 4-color generalized Frobenius partitions. Surprisingly, we get representations for some easily described partitions.

Keywords and Phrases

3- and 4-colors generalized Frobenius partitions, uneven Frobenius representations, generating functions.

A.M.S. subject classification

05A17, 11P80, 11B65.

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