On some open problems in Diophantine approximation

Abstract

We discuss several open problems in Diophantine approximation. Among them there are famous Littlewood's and Zaremba's conjectures as well as some new and not so famous problems.

Submitted to FAOM. Some new comments are added in the recent version

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Cited by in corpus (6)

• A reinforcement of the Bourgain-Kontorovich's theorem by elementary methods
• Applications of Siegel's Lemma to a system of linear forms and its minimal points
• The winning property of mixed badly approximable numbers
• On the derivative of two functions from Denjoy-Tichy-Uitz family
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