# Simon Kristensen

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

Research output: Research - peer-reviewJournal article

### Standard

A quantitative Khintchine-Groshev type theorem over a field of formal series. / Dodson, M.M.; Kristensen, S.; Levesley, J.

In: Indagationes Mathematicae, Vol. 16, No. 2, 2005, p. 171-177.

Research output: Research - peer-reviewJournal article

### Harvard

Dodson, MM, Kristensen, S & Levesley, J 2005, 'A quantitative Khintchine-Groshev type theorem over a field of formal series' Indagationes Mathematicae, vol 16, no. 2, pp. 171-177.

### APA

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

### CBE

Dodson MM, Kristensen S, Levesley J. 2005. A quantitative Khintchine-Groshev type theorem over a field of formal series. Indagationes Mathematicae. 16(2):171-177.

### MLA

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

### Vancouver

Dodson MM, Kristensen S, Levesley J. A quantitative Khintchine-Groshev type theorem over a field of formal series. Indagationes Mathematicae. 2005;16(2):171-177.

### Author

Dodson, M.M. ; Kristensen, S. ; Levesley, J./ A quantitative Khintchine-Groshev type theorem over a field of formal series. In: Indagationes Mathematicae. 2005 ; Vol. 16, No. 2. pp. 171-177

### Bibtex

@article{e7a15560a9d111dabee902004c4f4f50,
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",
year = "2005",
volume = "16",
pages = "171--177",
journal = "Indagationes Mathematicae",
issn = "0019-3577",
publisher = "Elsevier BV",
number = "2",

}

### RIS

TY - JOUR

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

VL - 16

SP - 171

EP - 177

JO - Indagationes Mathematicae

T2 - Indagationes Mathematicae

JF - Indagationes Mathematicae

SN - 0019-3577

IS - 2

ER -