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

• Autorzy: Natalia Budarina , Detta Dickinson
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11K60: Diophantine approximation
• 11J83: Metric theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2013
• Tom: 160
• Numer: 3
• Strony: 243-257

Daty

wydano

2013

Twórcy

autor

Natalia Budarina

• Department of Mathematics, NUI Maynooth, Maynooth, Co. Kildare, Republic of Ireland
• Institute for Applied Mathematics, Khabarovsk Division, 92 Zaparina St., 680000 Khabarovsk, Russia

autor

Detta Dickinson

• Department of Mathematics, NUI Maynooth, Maynooth, Co. Kildare, Republic of Ireland

Identyfikatory

DOI

10.4064/aa160-3-2