On expressible sets and p-adic numbers

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F11%3A86080601" target="_blank" >RIV/61989100:27510/11:86080601 - isvavai.cz</a>
Alternative codes found
RIV/61988987:17610/11:A1200R9F
Result on the web
<a href="http://dx.doi.org/10.1017/S0013091509000091" target="_blank" >http://dx.doi.org/10.1017/S0013091509000091</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/S0013091509000091" target="_blank" >10.1017/S0013091509000091</a>

Result language
angličtina
Original language name
On expressible sets and p-adic numbers
Original language description
Continuing earlier studies over the real numbers, we study the expressible set of a sequence $A =(a_n)_{ngeq 1}$ of $p$-adic numbers, which we define to be the set $E^p_A = { sum _{ngeq 1}a_nc_n : c_n in N }$. We show that in certain circumstanceswe can calculate the Haar measure of $E^p_A$ 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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA201%2F07%2F0191" target="_blank" >GA201/07/0191: Algebraic, analytic and combinatorial number theory</a><br>
Continuities
V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
Proceedings of the Edinburgh Mathematical Society (Series 2)
ISSN
0013-0915
e-ISSN
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Volume of the periodical
54
Issue of the periodical within the volume
2
Country of publishing house
GB - UNITED KINGDOM
Number of pages
12
Pages from-to
411-422
UT code for WoS article
000290771300011
EID of the result in the Scopus database
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