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  • Continuing earlier studies over the real numbers, in this paper we study of the expressible set of a sequence ${\cal A} =(a_n)_{n\geq 1}$ of $p$-adic numbers, which we define to be the set $E^p _{\cal A} = \{ \sum _{n\geq 1}a_nc_n : c_n \in \mathbb{N} \}$. We show that in certain circumstances we can calculate the Haar measure of $E^p_{\cal A}$ 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.
  • Continuing earlier studies over the real numbers, in this paper we study of the expressible set of a sequence ${\cal A} =(a_n)_{n\geq 1}$ of $p$-adic numbers, which we define to be the set $E^p _{\cal A} = \{ \sum _{n\geq 1}a_nc_n : c_n \in \mathbb{N} \}$. We show that in certain circumstances we can calculate the Haar measure of $E^p_{\cal A}$ 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. (en)
Title
  • On expressible sets and p-adic numbers
  • On expressible sets and p-adic numbers (en)
skos:prefLabel
  • On expressible sets and p-adic numbers
  • On expressible sets and p-adic numbers (en)
skos:notation
  • RIV/61988987:17610/11:A1200R9F!RIV12-MSM-17610___
http://linked.open...avai/predkladatel
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  • P(GA201/07/0191), S, V, Z(MSM6198898701)
http://linked.open...iv/cisloPeriodika
  • 2
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  • 218019
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  • RIV/61988987:17610/11:A1200R9F
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  • expressible set; $p$-adic numbers (en)
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  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [97EE06F98430]
http://linked.open...i/riv/nazevZdroje
  • P EDINBURGH MATH SOC
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  • 54
http://linked.open...iv/tvurceVysledku
  • Hančl, Jaroslav
  • Pulcerová, Simona
  • Nair, Radhakrishnan
  • Šustek, Jan
http://linked.open...n/vavai/riv/zamer
issn
  • 0013-0915
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  • 17610
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