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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The Odlyzko conjecture and O'Hara's unimodality proof


Authors: Dennis Stanton and Doron Zeilberger
Journal: Proc. Amer. Math. Soc. 107 (1989), 39-42
MSC: Primary 05A30; Secondary 05A15, 11B65
MathSciNet review: 972238
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Abstract: We observe that Andrew Odlyzko's conjecture that the Maclaurin coefficients of $ 1/[(1 + q)(1 + q + {q^2}) \cdots (1 + q + \cdots + {q^{k - 1}})]$ have alternating signs is an almost immediate consequence of an identity that is implied by Kathy O'Hara's recent magnificent combinatorial proof of the unimodality of the Gaussian coefficients.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0972238-1
PII: S 0002-9939(1989)0972238-1
Article copyright: © Copyright 1989 American Mathematical Society