No CrossRef data available.
Article contents
On expressible sets and p-adic numbers
Published online by Cambridge University Press: 25 February 2011
Abstract
Continuing earlier studies over the real numbers, we study the expressible set of a sequence A = (an)n≥1 of p-adic numbers, which we define to be the set EpA = {∑n≥1ancn: cn ∈ ℕ}. We show that in certain circumstances we can calculate the Haar measure of EpA exactly. It turns out that our results extend to sequences of matrices with p-adic entries, so this is the setting in which we work.
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © Edinburgh Mathematical Society 2011