Diophantine inequalities and quasi-algebraically closed fields
نویسندگان
چکیده
منابع مشابه
Diophantine Inequalities and Quasi-algebraically Closed Fields
Consider a form g(x1, . . . , xs) of degree d, having coefficients in the completion Fq((1/t)) of the field of fractions Fq(t) associated to the finite field Fq. We establish that whenever s > d, then the form g takes arbitrarily small values for non-zero arguments x ∈ Fq[t ]. We provide related results for problems involving distribution modulo Fq[t ], and analogous conclusions for quasi-algeb...
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2012
ISSN: 0021-2172,1565-8511
DOI: 10.1007/s11856-012-0004-5