Sum-product phenomena: p-adic case

Abstract

The sum-product phenomena over a finite extension K of ${\mathbb{Q}}_p$ is explored. The main feature of the results is the fact that the implied constants are independent of $p$.

Major revision. New results on structure of subrings of a non-archimedean local field is included

References in corpus (1)

• Super-approximation, II: the p-adic and bounded power of square-free integers cases