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

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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.

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References

  1. Gourdon, X., Sebah, P.: Collection of formulae for the Euler constant. http://numbers.computation.free.fr/Constants/Gamma/gammaFormulas.pdf

  2. Kluyver, J.C.: De constante van Euler en de natuurlijke getallen. Amst. Ak. Versl. 33, 149–151 (1924)

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  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

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  4. Kowalenko, V.: Properties and applications of the reciprocal logarithm numbers. Acta Appl. Math. 109, 413–437 (2010)

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Authors and Affiliations

  1. Department of Physics, Colorado School of Mines, Golden, CO, 80401, USA

    Mark W. Coffey

  2. 209 West 97th Street #6F, New York, NY, 10025, USA

    Jonathan Sondow

Authors
  1. Mark W. Coffey
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  2. Jonathan Sondow
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Correspondence to Jonathan Sondow.

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Coffey, M.W., Sondow, J. Rebuttal of Kowalenko’s Paper As Concerns the Irrationality of Euler’s Constant γ . Acta Appl Math 121, 1–3 (2012). https://doi.org/10.1007/s10440-012-9697-z

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  • DOI: https://doi.org/10.1007/s10440-012-9697-z

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