Neighboring powers

F. Beukers; C. L. Stewart

doi:10.1016/j.jnt.2009.09.006

Neighboring powers

F. Beukers, C. L. Stewart

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Research output: Contribution to journal › Article › Academic › peer-review

Abstract

In this article we discuss how close different powers of integers can be to each other. In addition we study pairs of powers of polynomials with rational coefficients which have differences of small positive degree.

Original language	English
Pages (from-to)	660-679
Number of pages	20
Journal	Journal of Number Theory
Volume	130
Issue number	3
DOIs	https://doi.org/10.1016/j.jnt.2009.09.006
Publication status	Published - 2010

Keywords

Hall's conjecture
Davenport pairs
Close powers

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BeukersNeighboring-powers 2010
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title = "Neighboring powers",

abstract = "In this article we discuss how close different powers of integers can be to each other. In addition we study pairs of powers of polynomials with rational coefficients which have differences of small positive degree.",

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DO - 10.1016/j.jnt.2009.09.006

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EP - 679

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Neighboring powers

Abstract

Keywords

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