A Fourier analytic approach to inhomogeneous Diophantine approximation

2017/04/15 by Yu, Han · 1 citation
#11J20 #11J83 #11K60 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1704.04691

Abstract

In this paper, we study inhomogeneous Diophantine approximation with rational numbers of reduced form. The central object to study is the set W(f,θ) as follows, \begineqnarray* \x∈ [0,1]: |x-(m+θ(n))/(n)|

Cited by

• Twisted Diophantine approximation for matrix transformations of tori

Related

• Einige Bemerkungen über inhomogene diophantische Approximationen
• Inhomogeneous approximation by coprime integers
• Exponents of inhomogeneous Diophantine Approximation
• Inhomogeneous Diophantine Approximation on M₀-sets
• Solution of Cassels' Problem on a Diophantine Constant over Function\n Fields