Submission date: 27 October 2020

Abstract:

We investigate the problem of deciding whether a system of linear equations, together with divisibility conditions on the variables, has a solution over holomorphy subrings of global fields. We obtain decidability results when we allow poles at a cofinite set of places, and undecidability results when at a finite set of places.

Mathematics Subject Classification: 11U05, 03B25

Keywords and phrases:

Full text arXiv 2010.14024: pdf, ps.