Prime and Composite Laurent Polynomials

  title={Prime and Composite Laurent Polynomials},
  author={F. PAKOVICH},
  • Published 2008
In his paper [15] Ritt constructed a decomposition theory of polynomials and described explicitly polynomial solutions of the functional equation f(p(z)) = g(q(z)). In this paper we construct a self-contained decomposition theory of rational functions with at most two poles. In particular, we give new proofs of the theorems of Ritt and of the theorem of Bilu and Tichy. Besides, we study general properties of the equation above in the case when f, g, p, q are holomorphic functions on compact… CONTINUE READING
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The equation f(X) = f(Y ) in rational functions X = X(t)

  • R. Avanzi, U. Zannier
  • Y = Y (t), Compos. Math. 139,
  • 2003
Highly Influential
4 Excerpts

Fields of definition of function fields and a problem in the reducibility of polynomials in two variables

  • M. Fried
  • Commun. Algebra
  • 1977
Highly Influential
6 Excerpts

On a theorem of Ritt and related diophantine problems

  • M. Fried
  • J. Reine Angew. Math. 264,
  • 1973
Highly Influential
5 Excerpts

Polynomials with special regard to reducibility

  • A. Schinzel
  • Encyclopedia of Mathematics and Its Applications
  • 2000
1 Excerpt

Zvonkin, Belyi functions for Archimedean solids

  • A. N. Magot
  • Discrete Math. 217,
  • 2000
2 Excerpts

Algebraic curves and Riemann surfaces, Graduate Studies in Mathematics

  • R. Miranda
  • AMS, American Mathematical Society,
  • 1995

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