location:  Publications → journals
Search results

Search: MSC category 11H46 ( Products of linear forms )

 Expand all        Collapse all Results 1 - 1 of 1

1. CMB 2009 (vol 52 pp. 63)

Dietmann, Rainer
 Small Zeros of Quadratic Forms Avoiding a Finite Number of Prescribed Hyperplanes We prove a new upper bound for the smallest zero $\mathbf{x}$ of a quadratic form over a number field with the additional restriction that $\mathbf{x}$ does not lie in a finite number of $m$ prescribed hyperplanes. Our bound is polynomial in the height of the quadratic form, with an exponent depending only on the number of variables but not on $m$. Categories:11D09, 11E12, 11H46, 11H55