Polynomial bounds for equivalence of quadratic forms with cube-free determinant
Polynomial bounds for equivalence of quadratic forms with cube-free determinant
复制标题
具有无立方行列式的二次形式等价的多项式界
DOI：
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发表时间：
2007
影响因子：
0.8
通讯作者：
R. Dietmann
中科院分区：
文献类型：
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作者：
R. Dietmann
摘要 给定至少三个变量的两个积分等价的积分二次形式，并且具有无立方行列式，我们建立将其中一种形式转换为另一种形式的最小幺模矩阵的上限。这个界限是所涉及的两种形式的高度的多项式，证实了 Masser 对于所考虑的形式类别的猜想。
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.