On distribution of fractional parts of linear forms
Igor Rochev
TL;DR
This paper investigates the distribution of fractional parts of linear forms, extending results related to badly approximable numbers and lacunary sequences, contributing to the understanding of Diophantine approximation.
Contribution
It provides a new theorem on the distribution of linear forms connected to Peres-Schlag's work, focusing on badly approximable numbers with lacunary sequences.
Findings
Established a new distribution result for linear forms
Extended Peres-Schlag's theorem to lacunary sequences
Enhanced understanding of badly approximable numbers
Abstract
We prove a result on linear forms related to Peres-Schlag's theorem on badly approximable numbers with respect to lacunary sequences.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Mathematical Approximation and Integration · Mathematical Dynamics and Fractals