Geodesic
An approach to the transformation of periodic sequences
Diskretnaya Matematika, Tome 27 (2015) no. 4, pp. 150-157

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We consider a periodic sequence $\{c_k\}_{k=0}^\infty$ and investigate a numerical properties of an irrational number $\alpha = \sum_{k=0}^\infty \frac{c_k}{k!}$. As an application of our results we present a simple transformation of periodic sequence $\{c_k\}_{k=0}^\infty$ into aperiodic sequence.
Keywords: irrationality, Ziegel – Shidlovskii method, linear independency measure, aperiodic sequence. 
@article{DM_2015_27_4_a11,
     author = {V. G. Chirskii and A. Yu. Nesterenko},
     title = {An approach to the transformation of periodic sequences},
     journal = {Diskretnaya Matematika},
     pages = {150--157},
     publisher = {mathdoc},
     volume = {27},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2015_27_4_a11/}
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V. G. Chirskii; A. Yu. Nesterenko. An approach to the transformation of periodic sequences. Diskretnaya Matematika, Tome 27 (2015) no. 4, pp. 150-157. http://geodesic.mathdoc.fr/item/DM_2015_27_4_a11/