Oppenheim expansion in the ring \(Q_g\) of \(g\)-adic numbers (Q2857777)
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scientific article; zbMATH DE number 6228986
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oppenheim expansion in the ring \(Q_g\) of \(g\)-adic numbers |
scientific article; zbMATH DE number 6228986 |
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19 November 2013
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Oppenheim expansion
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\(g\)-adic numbers
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0.8834864
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0.85295457
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Oppenheim expansion in the ring \(Q_g\) of \(g\)-adic numbers (English)
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A \(p\)-adic analog of the Oppenheim expansion of real numbers was proposed by \textit{A. Knopfmacher} and \textit{J. Knopfmacher} [J. Number Theory 32, No. 3, 297--306 (1989; Zbl 0683.10030)] and studied by \textit{J. Wu} [Acta Arith. 112, No. 3, 247--261 (2004; Zbl 1051.11045)]. The author extends these results to the case of the ring of \(g\)-adic numbers where \(g\) is a product of primes. For basic notions and results regarding \(g\)-adic numbers see \textit{K. Mahler} [Introduction to \(p\)-adic numbers and their functions. Cambridge Tracts in Mathematics. 64. London: Cambridge University Press (1973; Zbl 0249.12015)].
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