论文标题
同时进行一对实数的限制类别的双苯胺近似
Simultaneous diophantine approximation for a restricted class of pairs of real numbers
论文作者
论文摘要
我们证明，对于不良数字的限制性$（α，β）$的限制类别的猜想是满足的。我们使用立方方程的根部定位，其系数取决于所考虑的对$（α，β）$的二磷特性。根的估计值依赖于$α$和$β$的持续分数扩展的分母的特性。
We prove that the Littlewood conjecture is satisfied for a restricted class of pairs $(α,β)$ of badly approximable numbers. We use the localization of the roots of a cubic equation with coefficients depending on the diophantine properties for the considered pair $(α,β)$. The estimates of the roots rely on the properties of the denominators of the convergents of the continued fraction expansion of $α$ and $β$.
