Inhomogeneous Diophantine approximation on integer polynomials with non-monotonic error function

Natalia Budarina, and Detta Dickinson. "Inhomogeneous Diophantine approximation on integer polynomials with non-monotonic error function." Acta Arithmetica 160.3 (2013): 243-257. <http://eudml.org/doc/279096>.

@article{NataliaBudarina2013,
abstract = {We prove that the Lebesgue measure of the set of real points which are inhomogeneously Ψ-approximable by polynomials, where Ψ is not necessarily monotonic, is zero.},
author = {Natalia Budarina, Detta Dickinson},
journal = {Acta Arithmetica},
keywords = {inhomogeneous diophantine approximation; approximation on manifolds; non-monotonic error function; Lebesgue measure},
language = {eng},
number = {3},
pages = {243-257},
title = {Inhomogeneous Diophantine approximation on integer polynomials with non-monotonic error function},
url = {http://eudml.org/doc/279096},
volume = {160},
year = {2013},
}

TY - JOUR
AU - Natalia Budarina
AU - Detta Dickinson
TI - Inhomogeneous Diophantine approximation on integer polynomials with non-monotonic error function
JO - Acta Arithmetica
PY - 2013
VL - 160
IS - 3
SP - 243
EP - 257
AB - We prove that the Lebesgue measure of the set of real points which are inhomogeneously Ψ-approximable by polynomials, where Ψ is not necessarily monotonic, is zero.
LA - eng
KW - inhomogeneous diophantine approximation; approximation on manifolds; non-monotonic error function; Lebesgue measure
UR - http://eudml.org/doc/279096
ER -