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math.NT2017
On the arithmetic of polynomials with coefficients in Mordell-Weil type groups
Stefan Barańczuk
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 ri…
math.NT2017
Hasse-Minkowski theorem for quadratic forms on groups
Stefan Barańczuk
Consider groups such as Mordell-Weil groups of abelian varieties over number fields, odd algebraic -theory groups of number fields, or finitely generated subgroups of the multip…