Nonstandard arithmetic of iterated polynomials

DOI10.1007/BF02568493zbMath0701.11044OpenAlexW2073996845MaRDI QIDQ913852

Masahiro Yasumoto

Publication date: 1990

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155469

zbMATH Keywords

iterated polynomialnonstandard arithmetic

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials (irreducibility, etc.) (11R09) Nonstandard arithmetic (number-theoretic aspects) (11U10)

Cites Work

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• Hilbert irreducibility sequences and nonstandard arithmetic
• On the finiteness theorem of Siegel and Mahler concerning diophantine equations
• On the invariance of chains of fields
• Nonstandard Arithmetic of Polynomial Rings
• Algebraic extensions in nonstandard models and Hilbert's irreducibility theorem
• On a theorem of Ritt and related Diophantine problems.
• Polynomials of certain special types
• On Hilbert's irreducibility theorem