The Odlyzko conjecture and O’Hara’s unimodality proof
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- by Dennis Stanton and Doron Zeilberger PDF
- Proc. Amer. Math. Soc. 107 (1989), 39-42 Request permission
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.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 39-42
- MSC: Primary 05A30; Secondary 05A15, 11B65
- DOI: https://doi.org/10.1090/S0002-9939-1989-0972238-1
- MathSciNet review: 972238