Vol. 89, No. 1, 1980

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A note on gap-frequency partitions

David Bressoud

Vol. 89 (1980), No. 1, 1–6
Abstract

George Andrews has introduced gap-frequency partitions in order to interpret the Rogers-Selberg q-series identities related to the modulus seven. In this paper, we give a direct derivation of the generating function for such partitions. Our approach makes it much easier to extend and generalize the notion of gap-frequency partitions.

Mathematical Subject Classification 2000
Primary: 05A17
Secondary: 10A45
Milestones
Received: 31 July 1979
Revised: 8 January 1980
Published: 1 July 1980
Authors
David Bressoud
Macalester College
Saint Paul MN
United States