Julia Robinson's Numbers

Abstract

We partially answer to a question of Vidaux and Videla by constructing an infinite family of rings of algebraic integers of totally real subfields of Q whose Julia Robinson's Number is distinct from 4 and +$\infty$. Moreover the set of the Julia Robinson's Number that we construct is unbounded.

References in corpus (1)

• Hilbert's Tenth Problem and Mazur's Conjecture for large subrings of Q