Hilbert irreducibility sequences and nonstandard arithmetic

DOI10.1016/0022-314X(87)90084-9zbMath0642.12007MaRDI QIDQ1101503

B. George

Publication date: 1987

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

polynomials in two variablesdiophantine approximationsHilbert irreducibility sequences

Mathematics Subject Classification ID

Polynomials (irreducibility, etc.) (11R09) Nonstandard arithmetic and field theory (12L15)

Related Items

Straight-line programs in geometric elimination theory, Nonstandard arithmetic of iterated polynomials, Diophantine equations with power sums and universal Hilbert sets

Cites Work

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• On the Sprindžuk-Weissauer approach to universal Hilbert subsets
• On Hilbert's irreducibility theorem
• On the finiteness theorem of Siegel and Mahler concerning diophantine equations
• Metamathematical Considerations On The Relative Irreducibility Of Polynomials
• Nonstandard Arithmetic of Polynomial Rings
• Arithmetic specializations in polynomials.
• Nonstandard arithmetic of function fields over H-convex subfields of *Q.
• On Hilbert's irreducibility theorem