Prime and composite polynomials

DOI10.1016/0021-8693(74)90023-4zbMath0286.12102OpenAlexW2034193857MaRDI QIDQ1845911

F. Dorey, G. Whaples

Publication date: 1974

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(74)90023-4

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) General valuation theory for fields (12J20)

Related Items (24)

The relative Riemann–Hurwitz formula ⋮ Commuting polynomials and \(\lambda\)-ring structures on \(\mathbb{Z}[x\)] ⋮ On decomposition of sub-linearised-polynomials ⋮ Polynomials with a common composite ⋮ Generalizations of two theorems of Ritt on decompositions of polynomial maps. ⋮ Extensions of absolute values on two subfields ⋮ Counting decomposable polynomials with integer coefficients ⋮ Counting Decomposable Univariate Polynomials ⋮ Compositions and collisions at degree \(p^2\) ⋮ Polynomial decomposition algorithms ⋮ Polynomial decomposition algorithms ⋮ Decomposition of ordinary differential polynomials ⋮ DENSITY ESTIMATES ON COMPOSITE POLYNOMIALS ⋮ Counting invariant subspaces and decompositions of additive polynomials ⋮ Normal form for Ritt's second theorem ⋮ On Ritt's decomposition theorem in the case of finite fields ⋮ On special extrema of polynomials with applications to Diophantine problems ⋮ Building counterexamples to generalizations for rational functions of Ritt's decomposition theorem ⋮ A note on Ritt's theorem on decomposition of polynomials ⋮ Functional decomposition of polynomials: the tame case ⋮ Functional decomposition of polynomials: the wild case ⋮ Tame decompositions and collisions ⋮ Ritt's theory on the unit disk ⋮ Polynomial values in linear recurrences. II

Cites Work

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• On the invariance of chains of fields
• Additive polynomials
• On a theorem of Ritt and related Diophantine problems.
• Errata in My Paper "On a Special Class of Polynomials"
• Polynomial Substitutions
• Composite Polynomials with Coefficients in an Arbitrary Field of Characteristic Zero
• Additive Polynomials. II

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