Acta Applicandae Mathematicae

, Volume 121, Issue 1, pp 1–3 | Cite as

Rebuttal of Kowalenko’s Paper As Concerns the Irrationality of Euler’s Constant γ

Article

Abstract

We rebut Kowalenko’s claims in this journal that he proved the irrationality of Euler’s constant γ, and that his rational series for γ is new.

Keywords

Euler’s constant Irrationality Kluyver’s numbers Rebuttal 

References

  1. 1.
    Gourdon, X., Sebah, P.: Collection of formulae for the Euler constant. http://numbers.computation.free.fr/Constants/Gamma/gammaFormulas.pdf
  2. 2.
    Kluyver, J.C.: De constante van Euler en de natuurlijke getallen. Amst. Ak. Versl. 33, 149–151 (1924) MATHGoogle Scholar
  3. 3.
    Kluyver, J.C.: Euler’s constant and natural numbers. Proc. K. Ned. Akad. Wet. 27, 142–144 (1924). http://www.dwc.knaw.nl/DL/publications/PU00015025.pdf Google Scholar
  4. 4.
    Kowalenko, V.: Properties and applications of the reciprocal logarithm numbers. Acta Appl. Math. 109, 413–437 (2010) MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Department of PhysicsColorado School of MinesGoldenUSA
  2. 2.New YorkUSA

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