Submission date: 1 November 2017

Abstract:

For rings O_K of totally real algebraic integers, J. Robinson defined a set which is always { +∞ } or of the form [ λ, +∞) or (λ,+∞) for some real number λ ≥ 4. All known examples give either { +∞ } or [4,+∞). In this paper, we construct infinitely many fields such that the set is an interval, but not equal to [4,+∞).

Mathematics Subject Classification: 11R04, 11R32, 11R80, 37P05 (primary), 11R09, 11R11 (secondary)

Keywords and phrases:

Full text arXiv 1711.00490: pdf, ps.