Hilbert’s 12th problem asked for novel analogues of the roots of unity, the building blocks for certain number systems. Now, over 100 years later, two mathematicians have produced them. Problems in ...

This is a preview. Log in through your library . Abstract We construct a family of high order iteration functions for finding polynomial roots of a known multiplicity s. This family is a ...

We provide a self-contained topological proof of the continuous dependence of the roots of a polynomial on its coefficients. We present it as a homeomorphism between the space of monic complex ...