同时小线性型的度量理论
The Metrical Theory of Simultaneously Small Linear Forms
摘要：
在本文中，我们研究的度量理论丢番图逼近与线性型，同时为无穷多个整数向量小，即形式是接近原点。建立了一个完整的Khintchine-Groshev型定理，并推广了它的Hausdorff测度.后者蕴涵了完备的豪斯多夫维数理论。
英文摘要：
In this paper we investigate the metrical theory of Diophantine approximation associated with linear forms that are simultaneously small for infinitely many integer vectors; i.e. forms which are close to the origin. A complete Khintchine--Groshev type theorem is established, as well as its Hausdorff measure generalization. The latter implies the complete Hausdorff dimension theory.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
