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

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

7 Citationer (Scopus)

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.

Originalsprog	Engelsk
Tidsskrift	Indagationes Mathematicae
Vol/bind	16
Nummer	2
Sider (fra-til)	171-177
Antal sider	7
ISSN	0019-3577
Status	Udgivet - 2005

Citationsformater

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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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