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On the gaps between values of binary quadratic forms

Part of: Forms and linear algebraic groups

Published online by Cambridge University Press:  01 November 2010

Jörg Brüdern  and
Rainer Dietmann
Jörg Brüdern
Affiliation:
Institut für Algebra und Zahlentheorie, Universität Stuttgart, 70511 Stuttgart, Germany Present address: Mathematisches Institut, Georg-August Universität Göttingen, Bunsenstrasse 3–5, 37073 Göttingen, Germany (bruedern@uni-math.gwdg.de).
Rainer Dietmann
Affiliation:
Institut für Algebra und Zahlentheorie, Universität Stuttgart, 70511 Stuttgart, Germany Present address: Department of Mathematics, Royal Holloway University of London, Egham TW20 0EX, UK (rainer.dietmann@rhul.ac.uk).
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Abstract

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Among the values of a binary quadratic form, there are many twins of fixed distance. This is shown in quantitative form. For quadratic forms of discriminant −4 or 8 a corresponding result is obtained for triplets.

Keywords

gapsbinary quadratic formsHasse principle

MSC classification

Secondary: 11E16: General binary quadratic forms 11E25: Sums of squares and representations by other particular quadratic forms

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 54 , Issue 1 , February 2011 , pp. 25 - 32
Copyright
Copyright © Edinburgh Mathematical Society 2010

References

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