Inhomogeneous Diophantine approximation on integer polynomials with non-monotonic error function
Volume 160 / 2013
Acta Arithmetica 160 (2013), 243-257
MSC: Primary 11J83; Secondary 11K60.
DOI: 10.4064/aa160-3-2
Abstract
We prove that the Lebesgue measure of the set of real points which are inhomogeneously $\varPsi $-approximable by polynomials, where $\varPsi $ is not necessarily monotonic, is zero.
