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

M. M. Dodson·S. Kristensen·J. Levesley
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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|<ψ(|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.

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M. M. Dodson, S. Kristensen, J. Levesley. 2004-10-28. A quantitative Khintchine-Groshev type theorem over a field of formal series. https://arxiv.org/abs/math/0401438

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