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The inhomogeneous minimum of binary quadratic forms

Published online by Cambridge University Press:  24 October 2008

Daniel Berend  and
William Moran
Daniel Berend
Affiliation:
Department of Mathematics, University of Texas, Austin, TX 78712, U.S.A.
William Moran
Affiliation:
Department of Pure Mathematics, University of Adelaide, Adelaide, S.A. 5001, Australia
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Abstract

An indefinite binary quadratic form ƒ gives rise to a certain function M on the torus. The properties of M, especially those related to its maximum – the so-called inhomogeneous minimum of ƒ – are the subject of numerous papers. Here we continue this study, putting more emphasis on the general behaviour of M.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 1 , July 1992 , pp. 7 - 19
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

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