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Mat. Zametki, 2014, Volume 95, Issue 2, Pages 312–316 (Mi mz10417)  

This article is cited in 4 scientific papers (total in 4 papers)

Brief Communications

Double Exponential Lower Bound for the Number of Representations of Unity by Egyptian Fractions

S. V. Konyaginab

a Steklov Mathematical Institute of the Russian Academy of Sciences
b M. V. Lomonosov Moscow State University

Keywords: Egyptian fraction, Egyptian fraction of a rational number, Egyptian fraction representation of unity.

Funding Agency Grant Number
Russian Foundation for Basic Research 11-01-00329
Ministry of Education and Science of the Russian Federation НШ-6003.2012.1


DOI: https://doi.org/10.4213/mzm10417

Full text: PDF file (354 kB)
References: PDF file   HTML file

English version:
Mathematical Notes, 2014, 95:2, 280–284

Bibliographic databases:


Citation: S. V. Konyagin, “Double Exponential Lower Bound for the Number of Representations of Unity by Egyptian Fractions”, Mat. Zametki, 95:2 (2014), 312–316; Math. Notes, 95:2 (2014), 280–284

Citation in format AMSBIB
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  • http://mi.mathnet.ru/eng/mz/v95/i2/p312

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Elsholtz Ch., Planitzer S., “Sums of Four and More Unit Fractions and Approximate Parametrizations”, Bull. London Math. Soc.  crossref  mathscinet  isi
    2. Elsholtz Ch., “Egyptian Fractions With Odd Denominators”, Q. J. Math., 67:3 (2016), 425–430  crossref  mathscinet  zmath  isi  elib  scopus
    3. H. Goral, D. C. Sertbas, “Density and finiteness results on sums of fractions”, Proc. Amer. Math. Soc., 147:2 (2019), 567–581  crossref  mathscinet  zmath  isi  scopus
    4. Elsholtz Ch., Planitzer S., “The Number of Solutions of the Erdos-Straus Equation and Sums of K Unit Fractions”, Proc. R. Soc. Edinb. Sect. A-Math., 150:3 (2020), 1401–1427  crossref  mathscinet  isi
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