Rational Points in m-Adic Cantor Sets
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2630-z |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2630-z | ||
| 100 | 1 | |a Bloshchitsyn |D V. |u Sobolev Institute of Mathematics SB RAS, 4, pr. Akad. Koptyuga, 630090, Novosibirsk, Russia |4 aut | |
| 245 | 1 | 0 | |a Rational Points in m-Adic Cantor Sets |h [Elektronische Daten] |c [V. Bloshchitsyn] |
| 520 | 3 | |a For any natural numbers m ≥ 3 and s such that 0 < s < m− 1 we introduce a Cantor m-adic set C(m, s) as a set of real numbers in [0, 1] admitting a base m expansion without using the digit s. We prove that for any prime p > m2 the set of irreducible p-adic fractions in C(m, s) is finite (possibly, empty). Bibliography: 5 titles. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 211/6(2015-12-01), 747-751 |x 1072-3374 |q 211:6<747 |1 2015 |2 211 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2630-z |q text/html |z Onlinezugriff via DOI |
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| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2630-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Bloshchitsyn |D V. |u Sobolev Institute of Mathematics SB RAS, 4, pr. Akad. Koptyuga, 630090, Novosibirsk, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 211/6(2015-12-01), 747-751 |x 1072-3374 |q 211:6<747 |1 2015 |2 211 |o 10958 | ||