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math.NT2018
Wild sets in global function fields
Alfred Czogała, Przemysław Koprowski, Beata Rothkegel
Given a self-equivalence of a global function field, its wild set is the set of points where the self-equivalence fails to preserve parity of valuation. In this paper we describe s…
math.AC2018
Intrinsic factorization of ideals in Dedekind domains
Mawunyo Kofi Darkey-Mensah, Przemysław Koprowski
We present a generalization of a polynomial factorization algorithm that works with ideals in maximal orders of global function fields. The method presented in this paper is intrin…
math.HO2018
Yet another proof of the quadratic reciprocity law
Alfred Czogała, Przemysław Koprowski
We present a new proof of the celebrated quadratic reciprocity law. Our proof is based on group theory.