Diophantine relations between rings of S-integers of fields of algebraic functions in one variable over constant fields of positive characteristic

DOI10.2307/2275331zbMath0773.11076OpenAlexW2151063322MaRDI QIDQ5287686

Alexandra Shlapentokh

Publication date: 17 August 1993

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2275331

zbMATH Keywords

function fielddiophantine definabilityHilbert's tenth problemdiophantine definition

Mathematics Subject Classification ID

Decidability (number-theoretic aspects) (11U05) Model-theoretic algebra (03C60) Decidability of theories and sets of sentences (03B25) Model theory (number-theoretic aspects) (11U09)

Related Items (4)

Diophantine undecidability for some holomorphy rings of algebraic functions of characteristic 0. ⋮ Definability of Frobenius orbits and a result on rational distance sets ⋮ First-order definitions of rational functions and \({\mathcal S}\)-integers over holomorphy rings of algebraic functions of characteristic 0 ⋮ DIOPHANTINE DEFINABILITY OVER HOLOMORPHY RINGS OF ALGEBRAIC FUNCTION FIELDS WITH INFINITE NUMBER OF PRIMES ALLOWED AS POLES

Cites Work

• Hilbert's tenth problem for fields of rational functions over finite fields
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