English

On fields of totally $S$-adic numbers

Number Theory 2013-06-28 v2 Algebraic Geometry

Abstract

Given a finite set SS of places of a number field, we prove that the field of totally SS-adic algebraic numbers is not Hilbertian.

Keywords

Cite

@article{arxiv.1202.6200,
  title  = {On fields of totally $S$-adic numbers},
  author = {Lior Bary-Soroker and Arno Fehm and with appendix by Florian Pop},
  journal= {arXiv preprint arXiv:1202.6200},
  year   = {2013}
}

Comments

Appendix by Florian Pop is added

R2 v1 2026-06-21T20:26:11.439Z