The odlyzko conjecture and o’hara’s unimodality proof

Dennis Stanton; Doron Zeilberger

doi:10.1090/S0002-9939-1989-0972238-1

The odlyzko conjecture and o’hara’s unimodality proof

Dennis Stanton, Doron Zeilberger

Mathematics

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8 Scopus citations

Abstract

We observe that Andrew Odlyzko's conjecture that the Maclaurin coefficients of 1/[(1 + q)(1 + q + q²)…(1 + q + … + 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.

Original language	English (US)
Pages (from-to)	39-42
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	107
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1989-0972238-1
State	Published - Sep 1989

Keywords

Link homotopy
Links
Whitney trick

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abstract = "We observe that Andrew Odlyzko's conjecture that the Maclaurin coefficients of 1/[(1 + q)(1 + q + q2)…(1 + q + … + qk−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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AB - We observe that Andrew Odlyzko's conjecture that the Maclaurin coefficients of 1/[(1 + q)(1 + q + q2)…(1 + q + … + qk−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.

KW - Link homotopy

KW - Links

KW - Whitney trick

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The odlyzko conjecture and o’hara’s unimodality proof

Abstract

Keywords

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