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Matematicheskie Zametki, 2009, Volume 85, Issue 6, Pages 927–935
DOI: https://doi.org/10.4213/mzm6192 (Mi mzm6192) 		 
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
Full-text PDF (474 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm6192
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
English version:
Mathematical Notes, 2009, Volume 85, Issue 6, Pages 877–885
DOI: https://doi.org/10.1134/S0001434609050289
Bibliographic databases:
UDC: 511.3
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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