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

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

2004-01-30

arxiv.org/abs/math/0401438v2

Mathematics

Number Theory

Revised version

Scientific paper

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.

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