Khintchine's theorem and a transference principle for star bodies

Dodson, M.M. and Kristenson, S. (2006) Khintchine's theorem and a transference principle for star bodies. International Journal of Number Theory, 2 (3). pp. 431-453. ISSN 1793-0421

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Abstract

Analogues of Khintchine's Theorem in simultaneous Diophantine approximation in the plane are proved with the classical height replaced by fairly general planar distance functions or equivalently star bodies. Khintchine's transference principle is discussed for distance functions and a direct proof for the multiplicative version is given. A transference principle is also established for a different distance function.

Item Type:	Article
Academic Units:	The University of York > Mathematics (York)
Depositing User:	York RAE Import
Date Deposited:	22 May 2009 11:12
Last Modified:	22 May 2009 11:12
Published Version:	http://dx.doi.org/10.1142/S1793042106000668
Status:	Published
Publisher:	World Scientific Publishing Co.
Identification Number:	10.1142/S1793042106000668
URI:	http://eprints.whiterose.ac.uk/id/eprint/6299

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