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The n-dimensional approximation constatant*

Published online by Cambridge University Press:  17 April 2009

G. Szekeres
G. Szekeres
Affiliation:
School of Mathematics, The University of New South Wales, Kensington, N.S.W., 2033, Australia.
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Abstract

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Type
Conference in Honour of Kurt Mahler
Information
Bulletin of the Australian Mathematical Society , Volume 29 , Issue 1 , February 1984 , pp. 119 - 125
Copyright
Copyright © Australian Mathematical Society 1984

References

[1]Adams, W.W., “The best two-dimensional Diophantine approximation constant for cubic irrationals”, Pacific J. Math. 91 (1980), 29–30.CrossRefGoogle Scholar
[2]Cusick, T.W., “Estimation for Diophantine approximation constants”, J. Number Theory 12 (1980), 547–556.CrossRefGoogle Scholar
[3]Davenport, H., “On a theorem of Furtwängler, J. London Math. Soc. 30 (1955), 186–195.CrossRefGoogle Scholar
[4]Furtwängler, P., “Über die simultane Approximation von Irrationalzahlen”, I and II, Math. Ann. 96 (1927), 169–175; 99 (1928), 71–83.CrossRefGoogle Scholar
[5]Hunter, J., “The minimum discriminant of quintic fields”, Proc. Glasgow Math. Assoc. 3 (1957), 57–67.CrossRefGoogle Scholar
[6]Krass, S., “Estimates for n-dimensional Diophantine approximation constants for n > 4”, J. Number Theory, to appear.+4”,+J.+Number+Theory,+to+appear.>Google Scholar
[7]Krass, S., “Simultaneous n-dimensional Diophantine approximations of irrationals in a number field of degree n + 1”, to appear.Google Scholar
[8]Szekeres, G., “Multidimensional continued fractions”, Annales Univ. Sci. Budapest, 13 (1970), 113–140.Google Scholar