Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-17T14:59:03.474Z Has data issue: false hasContentIssue false
  • English
  • Français

The N-dimensional diophantine approximation constants

Published online by Cambridge University Press:  17 April 2009

Sam Krass
Sam Krass
Affiliation:
Department of Mathematics, University of New South Wales, P.O. Box 1, Kensington, New South Wales, 2033, Australia.
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Abstracts of Australasian PhD theses
Information
Bulletin of the Australian Mathematical Society , Volume 32 , Issue 2 , October 1985 , pp. 313 - 316
Copyright
Copyright © Australian Mathematical Society 1985

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]Ax, J.. “On Schanuel's conjectures”, Ann. Math. 93 (1971), 252–268.CrossRefGoogle Scholar
[3]Cassels, J.W.S. and Swinnerton-Dyer, H.P.F.. “On the product of three hongeneous linear forms and indefinite ternary quadratic forms”, Phil. Trans. Royal Soc. London. 248 (1955), 73–96.Google Scholar
[4]Cusick, T.W.. “Estimates for diophantine approximation constant”, J. Number Theory. 12 (1980), 543–556.CrossRefGoogle Scholar
[5]Davenport, H., “On a theorem of Furtwangler”, J. London Math. Soc. 30 (1955), 186–195.CrossRefGoogle Scholar
[6]Hunter, J., “The minimum discriminant of quintic fields”, Proc. Glasgow Math. Assoc. 3 (1957), 57–67.CrossRefGoogle Scholar
[7]Pohst, M., “On the computation of number fields of small discriminant including the minimum discriminant of sixth degree fields”, J. Number Theory, 14 (1982), 99–117.CrossRefGoogle Scholar
[8]Szekeres, G., “Multidimensional continued fractions”, Ann. Univ. Sci. Budapest Eotvos Sect. Math., 13 (1970), 113–140.Google Scholar