[go: up one dir, main page]

Skip to main content
Log in

Double exponential lower bound for the number of representations of unity by Egyptian fractions

  • Short Communications
  • Published:
Mathematical Notes Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. G. Robins and Ch. Shute, Rhind Mathematical Papyrus. An Ancient Egyptian Text (British Museum Publ., London, 1987).

    MATH  Google Scholar 

  2. L. E. Sigler, Fibonacci’s Liber Abaci, A Translation into Modern English of Leonardo Pisano’s Book of Calculation (Springer-Verlag, New York, 2003).

    MATH  Google Scholar 

  3. R. L. Graham, in Erdős Centennial, Bolyai Soc. Math. Stud., On the occasion Paul Erdős 100th anniversary of his birth, János Bolyai Math. Soc., Budapest (Springer, Berlin, 2013), Vol. 25, pp. 289–309.

    Google Scholar 

  4. C. Sándor, Period. Math. Hungar. 47(1–2), 215 (2003).

    Article  MATH  MathSciNet  Google Scholar 

  5. A. S. Bang, Zeuthen Tidskr. (5) 4, 70 (1886).

    MATH  Google Scholar 

  6. A. Wiman, Arkiv f. Mat., Astr. och Fys. 3(18) (1907).

    Google Scholar 

  7. F. Luca and I. E. Shparlinski, Monatsh. Math. 154(1), 59 (2008).

    Article  MATH  MathSciNet  Google Scholar 

  8. L. G. Sathe, J. Indian Math. Soc. (N. S.) 17, 63 (1953); 17, 83 (1953); 18, 27 (1954); 18, 43 (1954).

    MATH  MathSciNet  Google Scholar 

  9. A. Selberg, J. Indian Math. Soc. (N. S.) 18, 83 (1954).

    MATH  MathSciNet  Google Scholar 

  10. A. Hildebrand and G. Tenenbaum, DukeMath. J. 56(3), 471 (1988).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. V. Konyagin.

Additional information

Original Russian Text © S. V. Konyagin, 2014, published in Matematicheskie Zametki, 2014, Vol. 95, No. 2, pp. 312–316.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Konyagin, S.V. Double exponential lower bound for the number of representations of unity by Egyptian fractions. Math Notes 95, 277–281 (2014). https://doi.org/10.1134/S0001434614010295

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434614010295

Keywords

Navigation