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The Markoff spectrum of an algebraic number field

Published online by Cambridge University Press:  09 April 2009

A. C. Woods
A. C. Woods
Affiliation:
The Ohio State University Columbus, Ohio, USA
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Abstract

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The Markoff spectrum of an algebraic number field is defined and it is proved that the spectrum of Q(✓5) is not discrete.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 25 , Issue 4 , June 1978 , pp. 486 - 488
Copyright
Copyright © Australian Mathematical Society 1978

References

Cassels, J. W. S. and Swinnerton-Dyer, H. P. F. (1955), “On the product of three homogeneous linear forms and indefinite ternary quadratic forms”, Phil. Trans. Royal Soc. London A 248, 73–96.Google Scholar
Dickson, L. G. (1930), Studies in the Theory of Numbers (University of Chicago Press).Google Scholar
Swinnerton-Dyer, H. P. F. (1971), “On the product of three homogeneous linear forms”, Acta Arith. 18, 371–385.CrossRefGoogle Scholar