The Borwein Conjecture and Partitions with Prescribed Hook Differences

  • David A. Bressoud

Abstract

Peter Borwein has conjectured that certain polynomials have non-negative coefficients. In this paper we look at some generalizations of this conjecture and observe how they relate to the study of generating functions for partitions with prescribed hook differences. A combinatorial proof of the generating function for partitions with prescribed hook differences is given.

Published
1995-05-11