Rational approximations of the number % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqr1ngB % PrgifHhDYfgasaacH8srps0lbbf9q8WrFfeuY-Hhbbf9v8qqaqFr0x % c9pk0xbba9q8WqFfea0-yr0RYxir-Jbba9q8aq0-yq-He9q8qqQ8fr % Fve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaadaGcba % qaaiaaiodaaSqaaiaaiodaaaaaaa!3937! $$ \sqrt[3]{3} $$
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Published:2009-12
Issue:5-6
Volume:86
Page:693-703
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ISSN:0001-4346
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Container-title:Mathematical Notes
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language:en
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Short-container-title:Math Notes
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Reference9 articles.
1. K. Mahler, “On the fractional parts of powers of real numbers. II,” Mathematika 4, 122–124 (1957).
2. A. Baker and J. Coates, “Fractional parts of powers of rationals,” Math. Proc. Cambridge Philos. Soc. 77, 269–279 (1975).
3. F. Beukers, “Fractional parts of powers of rationals,” Math. Proc. Cambridge Philos. Soc. 90(1), 13–20 (1981).
4. A. K. Dubitskas, “A lower bound on the value of |(3/2)k|,” Uspekhi Mat. Nauk 45(4), 153–154 (1990) [RussianMath. Surveys 45 (4), 163–164 (1990)].
5. L. Habsieger, “Explicit lower bounds for |(3/2)k|,” Acta Arith. 106(3), 299–309 (2003).