Noether forms for the study of non-composite rational functions and their spectrum

DOI10.4064/aa147-3-2zbMath1235.12005OpenAlexW2963215276MaRDI QIDQ3079950

Salah Najib, Guillaume Chèze, Laurent Busé

Publication date: 4 March 2011

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: http://edoc.mpg.de/577483

zbMATH Keywords

GCDspectrumNoether's theoremBertini's theoremOstrowski's theoremcomposite rational function

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials in general fields (irreducibility, etc.) (12E05)

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Families of polynomials and their specializations ⋮ Specializations of indecomposable polynomials ⋮ Bounding the number of remarkable values via Jouanolou's theorem ⋮ Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields ⋮ A recombination algorithm for the decomposition of multivariate rational functions

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