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ALGEBRAIC NUMBERS IN SETS OF REAL AND COMPLEX NUMBERS OF SMALL LEBESGUE MEASURE

About the Authors

V. I. Bernik
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus

D. Sc. (Physics and Mathematics), Professor, Chief researcher



M. A. Zhur
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus

Postgraduate student



References

1. Bernik V. I., Götze F. Distribution of real algebraic numbers of arbitrary degree in short intervals. Izvestiya: Mathematics, 2015, vol. 79, no. 1, pp. 18–39. doi.org/10.4213/im8215

2. Gel’fond A. O. Transcendental and algebraic numbers. Moscow, State Publishing House of Technical and Theoretical Literature, 1952. 224 p. (in Russian).

3. Sprindzhuk V. G. Maler’s problem in the metric theory of numbers. Minsk, Nauka i tekhnika Publ., 1967. 181 p. (in Russian).

4. Lamchanovskaya M. V., Kalosha N. I. Distribution of complex algebraic numbers in small-radius circles on the complex plane. Trudy Instituta matematiki = Proceedings of the Institute of Mathematics, 2015, vol. 23, no. 1, pp. 84–97 (in Russian).


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ISSN 1561-8323 (Print)
ISSN 2524-2431 (Online)