论文标题
形式系统的通用有效的Oppenheim定理
A generic effective Oppenheim theorem for systems of forms
论文作者
论文摘要
我们证明了一个均匀的有效密度定理以及一个构成具有轻度均匀条件的多项式的通用系统的有效计数结果,并使用罗杰的第二矩公式在单模型晶格的空间上使用Roger的第二矩公式进行了几种线性形式。
We prove a uniform effective density theorem as well as an effective counting result for a generic system comprising a polynomial with a mild homogeneous condition and several linear forms using Roger's second moment formula for the Siegel transform on the space of unimodular lattices.