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Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series

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ALGEBRAIC NUMBERS OF THIRD DEGREE ON THE COMPLEX PLANE

Abstract

For each Q > 1, the existence of algebraic numbers of third degree is proved in circles of radius cQ -1, where с is a sufficiently large constant.

About the Author

M. V. lamchanovskaya
Institute of Information Technology of the Belarusian State University of Informatics and Radio Electronics, Minsk
Belarus


References

1. Baker A., Schmidt W. M. // Proc. Lond. ǪMath. Soc. 1970. Vol. 21 (3). Р. 1-11.

2. Bugeaund Y. Approximation by Algebraic Numbers. Cambridge Univ. Press, 2004.

3. Спринджук В. Г Проблема Малера в метрической теории чисел. Наука и техника. Минск, 1967.


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ISSN 1561-2430 (Print)
ISSN 2524-2415 (Online)