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On the arithmetic of polynomials with coefficients in Mordell-Weil type groups

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arxiv 1709.06900 v1 pith:7NOOY5AB submitted 2017-09-20 math.NT

classification math.NT
keywords groupscoefficientsmordell-weilpolynomialstypeabelianalgebraicarithmetic
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In this paper we prove Hasse local-global principle for polynomials with coefficients in Mordell-Weil type groups over number fields like S-units, abelian varieties with trivial ring of endomorphisms and odd algebraic K-theory groups.

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