| dc.contributor.author | Hančl, Jaroslav | |
| dc.contributor.author | Nair, Radhakrishnan | |
| dc.contributor.author | Pulcerová, Simona | |
| dc.contributor.author | Šustek, Jan | |
| dc.date.accessioned | 2011-06-06T06:58:02Z | |
| dc.date.available | 2011-06-06T06:58:02Z | |
| dc.date.issued | 2011 | |
| dc.identifier.citation | Proceedings of the Edinburgh Mathematical Society (Series 2). 2011, vol. 54, issue 2, p. 411-422. | en |
| dc.identifier.issn | 0013-0915 | |
| dc.identifier.issn | 1464-3839 | |
| dc.identifier.uri | http://hdl.handle.net/10084/84627 | |
| dc.description.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. | en |
| dc.language.iso | en | en |
| dc.publisher | Edinburgh Mathematical Society | en |
| dc.relation.ispartofseries | Proceedings of the Edinburgh Mathematical Society (Series 2) | en |
| dc.relation.uri | http://dx.doi.org/10.1017/S0013091509000091 | en |
| dc.subject | expressible set | en |
| dc.subject | p-adic numbers | en |
| dc.subject | Khinchin–Lutz Theorem | en |
| dc.title | On expressible sets and p-adic numbers | en |
| dc.type | article | en |
| dc.identifier.location | Není ve fondu ÚK | en |
| dc.identifier.doi | 10.1017/S0013091509000091 | |
| dc.identifier.wos | 000290771300011 | |