Geodesic
The Borwein conjecture and partitions with prescribed hook differences
The electronic journal of combinatorics, The Foata Festschrift volume, Tome 3 (1996) no. 2
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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.
DOI : 10.37236/1262
Classification : 05A17
Mots-clés : Borwein conjecture, generating function, partitions, hook differences 
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     author = {David A. Bressoud},
     title = {The {Borwein} conjecture and partitions with prescribed hook differences},
     journal = {The electronic journal of combinatorics},
     year = {1996},
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     doi = {10.37236/1262},
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David A. Bressoud. The Borwein conjecture and partitions with prescribed hook differences. The electronic journal of combinatorics, The Foata Festschrift volume, Tome 3 (1996) no. 2. doi: 10.37236/1262

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