Foias Numbers

Anghel, Nicolae

doi:10.2478/auom-2018-0030

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Foias Numbers

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 26 (2018): Issue 3 (December 2018)

By: Nicolae Anghel

Open Access

|Dec 2018

Abstract

The Foias constant, a true mathematical gem, is generalized to a host of similar numbers. As is the case with all significant mathematics it is the underlying method, due to Foias, that matters.

References

[1] H. M. Edwards Riemann’s Zeta Function, Academic Press, New York, (1974).
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[2] J. Ewing, C. Foias An Interesting Serendipitous Real Number, In ‘Finite vs, Infinite: Contributions to an Eternal Dilemma’, (Edts C. Calude and G. Paun), Springer, London, 119-126, (2000).10.1007/978-1-4471-0751-4_8
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[3] W. B. Jones, W. J. Thron Continued Fractions. Analytic Theory and Applications, Encyclopedia of Mathematics and its Applications, 11, Addison-Wesley, Reading, MA, (1980).
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[4] N. J. A. Sloane Sequences A085846 and A085848, In ‘The On-Line Encyclopedia of Integer Sequences’.
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[5] Wikipedia The Sleszynski-Pringsheim Theorem, On-Line Encyclopedia, https://en.wikipedia.org/wiki/Sleszynski-Pringsheim_theorem
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[6] Wolfram Alpha Wolfram Alpha, Computational Knowledge Engine, https://www.wolframalpha.com/
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[7] Wolfram MathWorld Foias Constant, http://mathworld.wolfram.com/FoiasConstant.html
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DOI: https://doi.org/10.2478/auom-2018-0030 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 21 - 28

Submitted on: Jan 8, 2018

Accepted on: Jan 31, 2018

Published on: Dec 31, 2018

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Recursion,

Foias constant,

Prime number theorem,

Continued fraction,

Slezynski-Pringsheim theorem

Related subjects:

Mathematics,

General mathematics

© 2018 Nicolae Anghel, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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