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Arithmetic properties of series of some classes

https://doi.org/10.22405/2226-8383-2019-20-2-374-382

About the Author

Evgeny Stanislavovich Krupitsyn

Russian Federation


References

1. J. Liouville. Sur des classes tres etendues de quantities don’t la valeur n’est ni algebriques, ni meme reductible a des irrationelles algebriques. C.R. Acad.Sci.Paris, Ser.A, 18, 883–885.

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11. Chirskii V. G. 2012, "Arithmetic properties of some polyadic series" , Vestn. Moscow. University. Ser. 1, Math., Mechan., no 5, pp. 52–54.

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15. Krupitsyn E. S. 2017, "Estimation of a polynomial from a polyadic Liouville number" , Materials of the international scientific conference .Actual problems of applied mathematics and physics., pp. 113–114.

16. Krupitsyn E. S. 2017, "Estimates of polynomials in a Liovillean polyadic integer" , Chebushevskii sb., vol. 18, iss. 4.

17. Chirskii V. G., Krupitsyn E. S. 2012, "Estimates of polynomials in some polyadic numbers" , Teacher of the XXI century, no 4, pp. 217–224.

18. Chirskii V. G. 1994, "On series that are algebraically independent in all local fields" , Vestn. Moscow. University. Ser. 1, Math., Mechan., no 3, pp. 93–95.

19. Mahler K. p–adic numbers and their functions. London: Cambridge University Press, 1981.


Review

For citations:


Krupitsyn E.S. Arithmetic properties of series of some classes. Chebyshevskii Sbornik. 2019;20(2):374-382. (In Russ.) https://doi.org/10.22405/2226-8383-2019-20-2-374-382

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