English

Julia Robinson's Numbers

Number Theory 2017-11-01 v1

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.

Cite

@article{arxiv.1710.11382,
  title  = {Julia Robinson's Numbers},
  author = {Pierre Gillibert and Gabriele Ranieri},
  journal= {arXiv preprint arXiv:1710.11382},
  year   = {2017}
}
R2 v1 2026-06-22T22:30:58.252Z