Geodesic
Inhomogeneous Diophantine approximation on integer polynomials with non-monotonic error function
Natalia Budarina1 ; Detta Dickinson2
1 Department of Mathematics NUI Maynooth Maynooth, Co. Kildare Republic of Ireland and Institute for Applied Mathematics Khabarovsk Division 92 Zaparina St. 680000 Khabarovsk, Russia
2 Department of Mathematics NUI Maynooth Maynooth, Co. Kildare Republic of Ireland
Acta Arithmetica, Tome 160 (2013) no. 3, pp. 243-257.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/aa160-3-2
Keywords: prove lebesgue measure set real points which inhomogeneously varpsi approximable polynomials where varpsi necessarily monotonic zero

Natalia Budarina 1 ; Detta Dickinson 2

1 Department of Mathematics NUI Maynooth Maynooth, Co. Kildare Republic of Ireland and Institute for Applied Mathematics Khabarovsk Division 92 Zaparina St. 680000 Khabarovsk, Russia
2 Department of Mathematics NUI Maynooth Maynooth, Co. Kildare Republic of Ireland 
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Natalia Budarina; Detta Dickinson. Inhomogeneous Diophantine approximation on integer polynomials with non-monotonic error function. Acta Arithmetica, Tome 160 (2013) no. 3, pp. 243-257. doi : 10.4064/aa160-3-2. http://geodesic.mathdoc.fr/articles/10.4064/aa160-3-2/

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