Abstract
AbstractGiven 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.
Publisher
Cambridge University Press (CUP)
Reference9 articles.
1. [9] Straumann S. . Das äquivalenzproblem ganzer quadratischer Formen: Einige explizite Resultate. Diplomarbeit. Universität Basel (1999).
2. [8] Siegel C. L. . Zur Theorie der quadratischen Formen. Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II (1972), 21–46.
3. On small solutions of the general nonsingular quadratic Diophantine equation in five or more unknowns
4. On the smallest solution to the general binary quadratic diophantine equation
5. Small Solutions of Quadratic Diophantine Equations
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