Nonstandard arithmetic of Hilbert subsets

DOI10.1016/0168-0072(91)90046-OzbMath0733.03045WikidataQ127706188 ScholiaQ127706188MaRDI QIDQ810021

Masahiro Yasumoto

Publication date: 1991

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

zbMATH Keywords

irreducible polynomialHilbert's irreducibility theoremnonstandard arithmeticHilbert sets

Mathematics Subject Classification ID

Nonstandard models of arithmetic (03H15) Nonstandard arithmetic (number-theoretic aspects) (11U10) Nonstandard arithmetic and field theory (12L15)

Related Items (1)

Arithmetically independent integers and values of rational functions

Cites Work

• Unnamed Item
• On the finiteness theorem of Siegel and Mahler concerning diophantine equations
• Nonstandard Arithmetic of Polynomial Rings
• Algebraic extensions in nonstandard models and Hilbert's irreducibility theorem
• The Distribution of Galois Groups and Hilbert's Irreducibility Theorem
• Nonstandard arithmetic of function fields over H-convex subfields of *Q.

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