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

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

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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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