A quantitative Khintchine-Groshev type theorem over a field of formal series
Number Theory
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.math/0401438,
title = {A quantitative Khintchine-Groshev type theorem over a field of formal series},
author = {M. M. Dodson and S. Kristensen and J. Levesley},
journal= {arXiv preprint arXiv:math/0401438},
year = {2007}
}
Comments
Revised version