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C. Krattenthaler and D. Zeilberger
Proof of a Determinant Evaluation Conjectured by Bombieri, Hunt and van der Poorten
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| Published: |
November 19, 1997 |
| Keywords: |
determinant, binomials, hypergeometric series |
| Subject: |
Primary 11C20; Secondary 05A10, 05A19, 11J68, 15A15 |
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Abstract
A determinant evaluation is proven, a special case of which establishes a conjecture of Bombieri, Hunt, and van der Poorten (Experimental Math. 4 (1995), 87-96) that arose in the study of Thue's method of approximating algebraic numbers.
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| Acknowledgements
The first author's research was supported in part by the
MSRI, Berkeley. The second author's research was
supported in part by the NSF.
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| Links
The Mathematica package
Hyp, used in the paper
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| Author information
C. Krattenthaler:
Institut
für Mathematik der Universität Wien,
Strudlhofgasse 4, A-1090 Wien, Austria.
KRATT@Pap.Univie.Ac.At
http://radon.mat.univie.ac.at/People/kratt
D. Zeilberger:
Department of Mathematics, Temple University,
Philadelphia, PA19122, USA
Current Address: Department of Mathematics, Rutgers University, Hill Center-Busch Campus, Piscataway, NJ 08854-8019, USA
http://www.math.rutgers.edu/~zeilberg/
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