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Neighboring powers

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beukersNeighboring-powers_2010.pdf (242.54 KB)

Publication date

2010

Authors

Beukers, F.ISNI 0000000350610029
Stewart, C. L.

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DOI

https://doi.org/10.1016/j.jnt.2009.09.006

Document Type

Article

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Utrecht University Repository
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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.

Keywords

Hall's conjecture, Davenport pairs, Close powers, Taverne

Citation

Beukers, F & Stewart, C L 2010, 'Neighboring powers', Journal of Number Theory, vol. 130, no. 3, pp. 660-679. https://doi.org/10.1016/j.jnt.2009.09.006

URI

http://hdl.handle.net/1874/196763