论文标题

利特伍德猜想周围的几何考虑

Geometric considerations around the Littlewood conjecture

论文作者

Lazar, Youssef

论文摘要

在本文中,我们采用了关于实际数字的利phite鼠近似近似的著名猜想的几何观点。遵循持续分数的几何理论的精神,我们给出了足够的猜想。我们方法的一个优点是,从某种意义上说,它是有效的,我们知道如何构建最终解决方案。

In this paper we adopt a geometric point of view regarding a famous conjecture due to Littlewood in diophantine approximation of real numbers. Following the spirit of the geometric theory of continued fractions, we give a sufficient condition for the conjecture to hold. An advantage of our method is that it is effective, in the sense that we know how to construct the eventual solution.

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