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Cubic Diophantine inequalities

Part of: Diophantine equations

Published online by Cambridge University Press:  26 February 2010

R. C. Baker ,
J. Brüdern  and
T. D. Wooley
R. C. Baker
Affiliation:
Department of Mathematics, Brigham Young University, Provo, UT 84602, U.S.A.
J. Brüdern
Affiliation:
Mathematisches Institut A, Postfach 80-11-40, Universitàt Stuttgart, D-7051, Stuttgart, Germany.
T. D. Wooley
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, MI 48109-1003, U.S.A.
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Extract

Let λ1, …, λs be nonzero real numbers and suppose that λ1/λs is irrational. In 1955, Davenport and Roth showed [6] that the values taken by

at integer points (x1, …, xs) are dense on the real line, provided that s≥8. In the present paper we obtain the same result with seven variables.

MSC classification

Secondary: 11D75: Diophantine inequalities
Type
Research Article
Information
Mathematika , Volume 42 , Issue 2 , December 1995 , pp. 264 - 277
Copyright
Copyright © University College London 1995

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References

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