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

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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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Number Theory, 11J83, 11J61

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http://salesiana.dossiersoluciones.com/handle/123456789/70021

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401438
 http://arxiv.org/abs/math/0401438

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arXiv