Additional results to a theorem of Eisenträger and Everest

DOI10.1007/S00013-011-0277-7zbMath1234.11073OpenAlexW2126575649MaRDI QIDQ636794

Stefan Perlega

Publication date: 30 August 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0277-7

zbMATH Keywords

undecidabilityelliptic curveHilbert's tenth problem

Mathematics Subject Classification ID

Decidability (number-theoretic aspects) (11U05) Elliptic curves over global fields (11G05)

Related Items (3)

First-order decidability and definability of integers in infinite algebraic extensions of the rational numbers ⋮ As easy as $\mathbb {Q}$: Hilbert’s Tenth Problem for subrings of the rationals and number fields ⋮ Extensions of Hilbert’s Tenth Problem: Definability and Decidability in Number Theory

Uses Software

• ecdata

Cites Work

• Descent on elliptic curves and Hilbert’s tenth problem
• Hilbert’s Tenth Problem and Mazur’s Conjecture for large subrings of $\mathbb {Q}$
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