356 citations · 1.2k across the 14 of their papers we have counts for
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Polynomials invertible in k-radicals
Yuri Burda, Askold Khovanskii
A classic result of Ritt describes polynomials invertible in radicals: they are compositions of power polynomials, Chebyshev polynomials and polynomials of degree at most 4. In thi…
Signatures of Branched Coverings
Yuri Burda, Askold Khovanskii
In this paper we deal with branched coverings over the complement to finitely many exceptional points on the Riemann sphere having the property that the local monodromy around each…
Coverings over Tori and Topological Approach to Klein's Resolvent Problem
Yuri Burda
This work answers the question what coverings over a topological torus can be induced from a covering over a space of dimension . The answer to this question is then applied in…
Branching Data for Algebraic Functions and Representability by Radicals
Yuri Burda, Askold Khovanskii
The branching data of an algebraic function is a list of orders of local monodromies around branching points. We present branching data that ensure that the algebraic functions hav…
Around rational functions invertible in radicals
Yuri Burda
A class of rational functions characterized by some wonderful properties is studied. The properties that identify this class include simple algebra (their inverses can be expressed…