On certain Littlewood-like and Schmidt-like problems in inhomogeneous Diophantine approximations
Nikolay Moshchevitin
TL;DR
This paper explores advanced inhomogeneous Diophantine approximation problems involving two real numbers, extending classical theorems with new methods inspired by Peres and Schlag.
Contribution
It introduces novel results on inhomogeneous approximations and adapts original methods to this specific context.
Findings
New bounds for inhomogeneous approximation to two real numbers
Extension of Khintchine's classical theorems
Application of Peres and Schlag's method to inhomogeneous problems
Abstract
We give several results related to inhomogeneous approximations to two real numbers and badly approximable numbers. Our results are related to classical theorems by A. Khintchine (1926) and to an original method invented by Y. Peres and W. Schlag (2001).
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Mathematical Theories and Applications · Algebraic Geometry and Number Theory