Geodesic
Vasily Ivanovich Bernik (to the 75th anniversary)
Čebyševskij sbornik, Tome 23 (2022) no. 1, pp. 6-9.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: number theory, Diophantine approximation, metric theory of Diophantine approximation, biography, anniversary. 
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Yu. V. Nesterenko; V. A. Bykovskii; V. M. Bukhshtaber; V. G. Chirskii; V. N. Chubarikov; A. P. Laurinčikas; N. M. Dobrovol'skii; N. N. Dobrovol'skii; I. Yu. Rebrova; N. V. Budarina; V. V. Beresnevich; D. V. Vasilyev; N. I. Kalosha. Vasily Ivanovich Bernik (to the 75th anniversary). Čebyševskij sbornik, Tome 23 (2022) no. 1, pp. 6-9. http://geodesic.mathdoc.fr/item/CHEB_2022_23_1_a0/

[1] V. I. Bernik, F. Gettse, “Raspredelenie deistvitelnykh algebraicheskikh chisel proizvolnoi stepeni v korotkikh intervalakh (ispravlennyi variant)”, Izv. RAN. Ser. matem., 79 (2015), 21–42 | DOI | Zbl

[2] V. Bernik, F. Götze, A.V. Gusakova, “On points with algebraically conjugate coordinates close to smooth curves”, Zapiski nauchnykh seminarov POMI, 2016, 14–47 | MR

[3] V. V. Beresnevich, V. I. Bernik, F. Götze, “Integral polynomials with small discriminants and resultants”, Adv. Math., 298 (2016), 393–412 | DOI | MR | Zbl

[4] V. Bernik, N. Budarina, H. O'Donnell, “Discriminants of polynomials in the Archimedean and non-Archimedean metrics”, Acta Mathematica Hungarica, 154:2 (2018), 265–278 | DOI | MR | Zbl

[5] V. Bernik, N. Budarina, F. Götze, “Exact upper bounds for the number of the polynomials with given discriminants”, Lithuanian Mathematical Journal, 57 (2017), 283–293 | DOI | MR | Zbl

[6] V. Bernik, N. Budarina, H. O'Donnell, “New estimates for the number of integer polynomials with given discriminants”, Lithuanian Mathematical Journal, 60 (2019), 179–200 | MR

[7] “O kolichestve algebraicheskikh chisel v korotkikh intervalakh, soderzhaschikh ratsionalnye tochki/ V. I. Bernik, F. Gettse, N.I. Kalosha”, Zhurnal Belorusskogo gosudarstvennogo universiteta. Matematika. Informatika, 2019, no. 1, 4–11

[8] V. I. Bernik, N. V. Budarina, D. Dikkinson, “Otsenki snizu dlya kolichestva vektorov s algebraicheskimi koordinatami vblizi gladkikh poverkhnostei”, Doklady Natsionalnoi akademii nauk Belarusi, 64:1 (2020), 7–12 | MR

[9] V. Bernik, S. Mc Guire, How small can polynomials be in an interval of given length?, Glasgow Mathematical Journal, 62:2 (2020), 261–280 | DOI | MR | Zbl

[10] V. I. Bernik, D.V. Vasilev, E.V. Zasimovich, “Diofantovy priblizheniya s postoyannoi pravoi chastyu neravenstv na korotkikh intervalakh”, Doklady Natsionalnoi akademii nauk Belarusi, 65:4 (2021), 397–403 | MR

[11] V. I. Bernik, V. V. Beresnevich, F. Gettse, E.V. Zasimovich, N. I. Kalosha, “Vklad Ionasa Kubilyusa v metricheskuyu teoriyu diofantovykh priblizhenii zavisimykh peremennykh”, Doklady Natsionalnoi akademii nauk Belarusi, 2021, no. 3, 34–50

[12] V. I. Bernik, I. A. Korlyukova, A. S. Kudin, A. V. Titova, “Tselochislennye mnogochleny i teorema Minkovskogo o lineinykh formakh”, Chebyshevskii sbornik, 2022, no. 1, 1–24