A note on gap-frequency partitions

David Bressoud

Vol. 89 (1980), No. 1, 1–6

DOI: 10.2140/pjm.1980.89.1

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