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Polynomial bounds for equivalence of quadratic forms with cube-free determinant

Published online by Cambridge University Press:  01 November 2007

RAINER DIETMANN
RAINER DIETMANN*
Affiliation:
Institut für Algebra und Zahlentheorie, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. email: [email protected]
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Abstract

Given two integrally equivalent integral quadratic forms in at least three variables and with cube-free determinant, we establish an upper bound on the smallest unimodular matrix transforming one of the forms into the other. This bound is polynomial in the height of the two forms involved, confirming a conjecture of Masser for the class of forms considered.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 143 , Issue 3 , November 2007 , pp. 521 - 532
Copyright
Copyright © Cambridge Philosophical Society 2007

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