Submission date: 31 October 2017

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 + ∞. Moreover the set of the Julia Robinson's Number that we construct is unbounded.

Mathematics Subject Classification:

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Full text arXiv 1710.11382: pdf, ps.