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On the minimum of zero indefinite binary quadratic forms

Published online by Cambridge University Press:  26 February 2010

Mary E. Gbur
Mary E. Gbur
Affiliation:
Texas A & M University, Department of Mathematics, College Station, Texas 77843, U.S.A.
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Abstract

We consider a Markoff spectrum for the set of indefinite binary quadratic forms with real coefficients which represent zero non-trivially. As was done for the classical Markoff spectrum, we show that 1/3 is the largest accumulation point of the set and explicitly determine the countably infinite number of elements greater than 1/3. Unlike the situation for the classical Markoff spectrum, there is a countably infinite number of limit points greater than 1/3.

Type
Research Article
Information
Mathematika , Volume 25 , Issue 1 , June 1978 , pp. 94 - 106
Copyright
Copyright © University College London 1978

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References

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