A quantitative Khintchine-Groshev type theorem over a field of formal series

Dodson, M.M., Kristensen, S. and Levesley, J. (2005) A quantitative Khintchine-Groshev type theorem over a field of formal series. Indagationes Mathematicae, 16 ( 2). pp. 171-177. ISSN 0019-3577

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Abstract

An asymptotic formula which holds almost everywhere is obtained for the number of solutions to theDiophantine inequalities double vertical barqA − pdouble vertical bar < Ψ(double vertical bargdouble vertical bar), where A is an n x m matrix (m > 1) over the field of formal Laurent series with coefficients from a finite field, and p and q are vectors of polynomials over the same finite field.

Item Type:	Article
Academic Units:	The University of York > Mathematics (York)
Depositing User:	York RAE Import
Date Deposited:	15 May 2009 13:45
Last Modified:	15 May 2009 13:45
Published Version:	http://dx.doi.org/10.1016/S0019-3577(05)80020-5
Status:	Published
Publisher:	Elsevier
Identification Number:	10.1016/S0019-3577(05)80020-5
URI:	http://eprints.whiterose.ac.uk/id/eprint/6328

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