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

M.M. Dodson; S. Kristensen; J. Levesley

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

M.M. Dodson, S. Kristensen, J. Levesley

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

Abstract

An asymptotic formula which holds almost everywhere is obtained for the number of solutions to the Diophantine inequalities |qA-p|<\psi(|q|), where A is an n by 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.

Original language	English
Journal	Indagationes Mathematicae
Volume	16
Issue	2
Pages (from-to)	171-177
Number of pages	7
ISSN	0019-3577
Publication status	Published - 2005

Cite this

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title = "A quantitative Khintchine-Groshev type theorem over a field of formal series",

abstract = "An asymptotic formula which holds almost everywhere is obtained for the number of solutions to the Diophantine inequalities |qA-p|<\psi(|q|), where A is an n by 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.",

author = "M.M. Dodson and S. Kristensen and J. Levesley",

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T1 - A quantitative Khintchine-Groshev type theorem over a field of formal series

AU - Dodson, M.M.

AU - Kristensen, S.

AU - Levesley, J.

PY - 2005

Y1 - 2005

N2 - An asymptotic formula which holds almost everywhere is obtained for the number of solutions to the Diophantine inequalities |qA-p|<\psi(|q|), where A is an n by 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.

AB - An asymptotic formula which holds almost everywhere is obtained for the number of solutions to the Diophantine inequalities |qA-p|<\psi(|q|), where A is an n by 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.

M3 - Journal article

SN - 0019-3577

VL - 16

SP - 171

EP - 177

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

IS - 2

ER -

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

Abstract

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