The Borwein Conjecture and Partitions with Prescribed Hook Differences

The Borwein Conjecture and Partitions with Prescribed Hook Differences

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 gener...

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Veröffentlicht in:The Electronic journal of combinatorics 1995-05, Vol.3 (2)
1. Verfasser: Bressoud, David A.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1077-8926
1077-8926
DOI:10.37236/1262