4 citations · 4 across the 2 of their papers we have counts for
3 papers
math.NT2021
The anisotropic part of a quadratic form over a number field
Przemysław Koprowski, Beata Rothkegel
It is well known that every non-degenerate quadratic form admits a decomposition into an orthogonal sum of its anisotropic part and a hyperbolic form. This decomposition is unique…
math.NT2021★ 4 cited
Computing the Length of Sum of Squares and Pythagoras Element in a Global Field
Mawunyo Kofi Darkey-Mensah, Beata Rothkegel
This paper presents algorithms for computing the length of a sum of squares and a Pythagoras element in a global field of characteristic different from . In the first part o…
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…