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This article is cited in 5 scientific papers (total in 5 papers)
Effectivization of a Lower Bound for $\|(4/3)^k\|$
Yu. A. Pupyrev M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
We obtain an effective lower bound for $\|(4/3)^k\|$, where $\|\cdot\|$ denotes the distance to the nearest integer.
Keywords:
Waring's problem, effective lower bound, effective constant, Beukers estimate, Padé approximation, Stirling's formula.
Received: 15.09.2008 Revised: 20.02.2009
Citation:
Yu. A. Pupyrev, “Effectivization of a Lower Bound for $\|(4/3)^k\|$”, Mat. Zametki, 85:6 (2009), 927–935; Math. Notes, 85:6 (2009), 877–885
Linking options:
https://www.mathnet.ru/eng/mzm6192https://doi.org/10.4213/mzm6192 https://www.mathnet.ru/eng/mzm/v85/i6/p927
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Abstract page: | 564 | Full-text PDF : | 188 | References: | 72 | First page: | 6 |
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