论文标题
代磷剂指数的几何形状
Geometry of Diophantine exponents
论文作者
论文摘要
双苯胺指数是负责欧几里得空间线性子空间的近似特性的最简单定量特性的指数。这项调查旨在描述二磷酸近似区域的当前状态，该概述研究了他们所满足的毒液指数和关系。我们讨论了在整数点上与几种线性形式的值集近似零的问题，其在二磷剂中的类似物与权重，多重二磷剂指数和晶格的二磷剂指数中产生的经典二氧剂指数。我们特别注意转移原则。
Diophantine exponents are ones of the simplest quantitative characteristics responsible for the approximation properties of linear subspaces of a Euclidean space. This survey is aimed at describing the current state of the area of Diophantine approximation which studies Diophantine exponents and relations they satisfy. We discuss classical Diophantine exponents arising in the problem of approximating zero with the set of the values of several linear forms at integer points, their analogues in Diophantine approximation with weights, multiplicative Diophantine exponents, and Diophantine exponents of lattices. We pay special attention to the transference principle.
