| 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 |
|