GEORGE E. ANDREWS
Department of Mathematics,
Pennsylvania State University,
University Park, Pennsylvania 16802
andrews@math.psu.edu
J. PLINIO SANTOS
IMECC, UNICAMP, 6065, 13081-970 Campinas Sao Paulo, Brazil
josepli@ime.unicamp.br
Received November 8, 1995; Accepted December 8, 1995.
Abstract. In this paper we present a new infinite family of partition identities. The genesis of our work lies in two formulas of Lucy Slater related to the modulus 8. Hirschhorn, Agarwal and Subbarao have previously found intriguing interpretations for Slater's formula, but none has led to an infinite family of results.
Keywords: partitions, Rogers-Ramanujan identities
1991 Mathematics Classification: Primary - 11P83; Secondary - 05A17, 05A19