Variations on the theme of solvability by radicals

DOI10.1134/S0081543807040074zbMath1182.30009MaRDI QIDQ2377583

A. G. Khovanskii

Publication date: 19 January 2009

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Riemann surfacesChebyshev polynomialscomplex polynomialsmonodromy groupalgebraic equationsGalois theorysolvability by radicalsmultivalued analytic functions

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Compact Riemann surfaces and uniformization (30F10) Equations in general fields (12E12) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (1)

Polynomials invertible in \(k\)-radicals

Cites Work

• On some problems in the theory of dynamical systems
• Topological obstructions to the representability of functions by quadratures.
• One-dimensional cohomologies of discrete subgroups
• BRANCHED COVERS OF S² AND BRAID GROUPS

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