Vasily Ivanovich Bernik (to the 75th anniversary)
https://doi.org/10.22405/2226-8383-2022-23-1-6-9
Abstract
This paper commemorates the seventy-fifth anniversary of Doctor of Physical and Mathematical Sciences, Professor Vasily Ivanovich Bernik. His curriculum vitae is presented, together with a brief analysis of his work in scientific research, education and management. 13 major scientific papers of V.I. Bernik are referenced.
About the Authors
Yuri Valentinovich NesterenkoRussian Federation
Viktor Alekseevich Bykovsky
Russian Federation
Viktor Matveyevich Buchstaber
Russian Federation
Vladimir Grigorievich Chirsky
Russian Federation
Vladimir Nikolaevich Chubarikov
Russian Federation
Antanas Laurincikas
Russian Federation
Nikolai Mikhailovich Dobrovolsky
Russian Federation
Nikolai Nikolaevich Dobrovolsky
Russian Federation
Irina Yur'evna Rebrova
Russian Federation
Natalia Viktorovna Budarina
Russian Federation
Victor Berestevich
Russian Federation
Vasilyev Denis Vladimirovich
Russian Federation
Kalosha Nikolay Ivanovich
Russian Federation
References
1. Bernik, V. I., G¨otze, F. 2015. “Distribution of real algebraic numbers of an arbitrary degree in short intervals” (corrected version), Izv. RAN Ser. matem., Vol. 79, № 1, P. 21—42.
2. Bernik, V., F. G¨otze, F., Gusakova A.В. 2016. “On points with algebraically conjugate coordinates close to smooth curves”, Zapiski nauchnykh seminarov POMI., P. 21–42.
3. Beresnevich, V. V., Bernik, V. I., G¨otze, F. 2016. “Integral polynomials with small discriminants and resultants”, Adv. Math., Vol. 298, p. 393—412.
4. Bernik V., Budarina N., O’Donnell H. 2018. “Discriminants of polynomials in the Archimedean and non-Archimedean metrics”, Acta Mathematica Hungarica, №154, Vol. 2, p. 265–278.
5. Bernik, V., Budarina, N., G¨otze, F. 2017. “ Exact upper bounds for the number of the polynomials with given discriminants”, Lithuanian Mathematical Journal, № 57, P. 283—293.
6. Bernik, V., Budarina, N., O’Donnell, H. 2019. “New estimates for the number of integer polynomials with given discriminants”, Lithuanian Mathematical Journal, №60, P. 265–278.
7. Bernik, V., G¨otze, F., Kalosha, N. 2019. “ Counting algebraic numbers in short intervals with rational points”, State University. Mathematics and Informatics., №1, P. 4–11.
8. Bernik, V. I., Budarina, N.V., Dickinson D. 2020. “Lower bounds for the number of vectors with algebraic coordinates near smooth surfaces”, Doklady of the National Academy of Sciences of Belarus, Vol. 64, № 1, P. 7–12.
9. Bernik, V., Mc Guire, S. 2020. “How small can polynomials be in an interval of given length? ”, Glasgow Mathematical Journal., Vol. 62, № 2, P. 261–280.
10. Bernik, V., Vasilyev, D., Zasimovich E. 2021. “Diophantine approximation with the constant right-hand side of inequalities on short intervals”, Doklady of the National Academy of Sciences of Belarus, Vol. 65, № 4, P. 397–403.
11. Bernik, V., Beresnevich, V., G¨otze, F., Zasimovich, E., Kalosha N. 2021. “Contribution of Jonas Kubilius to the metric theory of Diophantine approximation of dependent variables”, Journal of the Belarusian State University. Mathematics and Informatics., №3, P. 34–50.
12. Bernik, V., Korlyukova, I., Kudin, I., Titova, A. 2022. “On approximation to real numbers by algebraic numbers”, Сhebyshevskii sbornik, №94, Vol. 1, p. 1–24.
Review
For citations:
Nesterenko Yu.V., Bykovsky V.A., Buchstaber V.M., Chirsky V.G., Chubarikov V.N., Laurincikas A., Dobrovolsky N.M., Dobrovolsky N.N., Rebrova I.Yu., Budarina N.V., Berestevich V., Vladimirovich V.D., Ivanovich K.N. Vasily Ivanovich Bernik (to the 75th anniversary). Chebyshevskii Sbornik. 2022;23(1):6-9. (In Russ.) https://doi.org/10.22405/2226-8383-2022-23-1-6-9
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