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

• Autores: Rainer Dietmann
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 143, Nº 3, 2007, págs. 521-532
• Idioma: inglés
• DOI: 10.1017/s0305004107000710
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• Resumen

  • 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.