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arXiv · 2005.06438

Geometric considerations around the Littlewood conjecture

Youssef Lazar
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Abstract

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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Youssef Lazar. 2020-05-13. Geometric considerations around the Littlewood conjecture. https://arxiv.org/abs/2005.06438

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