Home An approach to the transformation of periodic sequences
Article
Licensed
Unlicensed Requires Authentication

An approach to the transformation of periodic sequences

  • Vladimir G. Chirskii EMAIL logo and Aleksey Yu. Nesterenko
Published/Copyright: March 19, 2017

Abstract

We consider a periodic sequence {ck}k=0 and investigate a numerical properties of an irrational number α=k=0ckk!. As an application of our results we present a simple transformation of periodic sequence {ck}k=0 into aperiodic sequence.


Originally published in Diskretnaya Matematika (2015) 27, №4, 150-157 (in Russian).


Acknowledgment

The authors are indebted to Professor V.Kh.Salikhov for useful discussions.

References

[1] Alferov A. P., Zubov A. Yu., Kuz’min A. S., Cheremushkin A. V., Basics of Cryptography, Textbook, Gelios, Moscow, 2001 (In Russian), 480 pp.Search in Google Scholar

[2] Nesterenko Yu. V., Number Theory, Textbook, Izd. Centre ACADEMIA, Moscow, 2008 (In Russian), 272 pp.Search in Google Scholar

[3] Fomichev B. M., Methods of Discrete Mathematics in Cryptology, Dialog-MIFI, Moscow, 2010 (In Russian), 424 pp.Search in Google Scholar

[4] Shidlovskii A. B., Transcendental numbers, W. de Gruyter GmbH, Berlin, 1989,466 pp.10.1515/9783110889055Search in Google Scholar

[5] Bertrand D., Chirskii V., Yebbou Y, “Efective estimates for global relations on Euler-type series”, Ann.Fac.Sci.Toulouse, XIII:2 (2004), 241-26010.5802/afst.1069Search in Google Scholar

Received: 2015-6-24
Published Online: 2017-3-19
Published in Print: 2017-2-1

© 2017 Walter de Gruyter GmbH, Berlin/Boston

Downloaded on 13.9.2025 from https://www.degruyterbrill.com/document/doi/10.1515/dma-2017-0001/html
Scroll to top button