论文标题
具有一致条件的二次形式的小解决方案
Small solutions of quadratic forms with congruence conditions
论文作者
论文摘要
我们考虑一个在$ n \ geq 3 $变量中具有一致性条件的均质二次形式的系统，并证明存在两个线性独立的积分解决方案。我们还显示了该系统的高度积分零的存在，避免了一组给定的超平面。
We consider a system of homogeneous quadratic forms with congruence conditions in $n\geq 3$ variables and prove the existence of two linearly independent integral solutions of bounded height. We also show the existence of small height integral zeros of this system avoiding a given set of hyperplanes.
