On some open problems in Diophantine approximation
Nikolay G. Moshchevitin
TL;DR
This paper explores unresolved issues in Diophantine approximation, including well-known conjectures like Littlewood's and Zaremba's, as well as introducing lesser-known problems in the field.
Contribution
It reviews and discusses several open problems in Diophantine approximation, highlighting both famous and lesser-known conjectures and challenges.
Findings
Identification of key open problems in Diophantine approximation
Discussion of the significance of Littlewood's and Zaremba's conjectures
Presentation of new, less-studied problems in the field
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.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Mathematical Theories and Applications · Analytic Number Theory Research