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Bernik Vasilij Ivanovich

Publications in Math-Net.Ru

  1. Distinction of measures of Haar cylinders in the Dirichlet theorem for the field of p-adic numbers

    Dal'nevost. Mat. Zh., 23:1 (2023),  3–11
  2. Integer polynomials and Minkowski's theorem on linear forms

    Chebyshevskii Sb., 23:1 (2022),  45–52
  3. Contribution of Jonas Kubilius to the metric theory of diophantine approximation of dependent variables

    Journal of the Belarusian State University. Mathematics and Informatics, 3 (2021),  34–50
  4. Approximation of real numbers by algebraic numbers and estimates for the Hausdorff dimension

    Tr. Inst. Mat., 28:1-2 (2020),  3–10
  5. Counting algebraic numbers in short intervals with rational points

    Journal of the Belarusian State University. Mathematics and Informatics, 1 (2019),  4–11
  6. Distribution of zeros of nondegenerate functions on short cuttings II

    Chebyshevskii Sb., 19:1 (2018),  5–14
  7. Complex algebraic numbers in the sets of $\mathbb{C}^2$ of small Lebesgue measure

    Tr. Inst. Mat., 26:1 (2018),  25–30
  8. Upper and lower estimates of the number of algebraic points in short intervals

    Chebyshevskii Sb., 18:4 (2017),  116–127
  9. Distribution of zeros of nondegenerate functions on short cuttings

    Chebyshevskii Sb., 18:4 (2017),  107–115
  10. Upper bound for number of integral polynomials of four degree with given order of discriminants

    Tr. Inst. Mat., 24:2 (2016),  14–19
  11. On the distribution of points with algebraically conjugate coordinates in a neighborhood of smooth curves

    Zap. Nauchn. Sem. POMI, 448 (2016),  14–47
  12. Distribution of algebraic points in domains of small measure and near the surfaces

    Chebyshevskii Sb., 16:3 (2015),  78–94
  13. How does the discriminant of integer polynomials depend on the distribution of roots?

    Chebyshevskii Sb., 16:1 (2015),  153–162
  14. Effective estimations of the measure of the sets of real numbers in which integer polynomials take small value

    Dal'nevost. Mat. Zh., 15:1 (2015),  21–37
  15. Distribution of real algebraic numbers of arbitrary degree in short intervals

    Izv. RAN. Ser. Mat., 79:1 (2015),  21–42
  16. Upper bounds for the number of integer polynomials with given discriminants

    Tr. Inst. Mat., 23:2 (2015),  29–36
  17. On the distribution of points on the modular hyperbola

    Dal'nevost. Mat. Zh., 14:2 (2014),  141–155
  18. The quantity of algebraic numbers with small derivative of the minimal polynomial in a short intervals

    Tr. Inst. Mat., 22:2 (2014),  18–31
  19. On the relation between a factorization of a polynomial resultant and the frequency of it’s occurence

    Tr. Inst. Mat., 22:2 (2014),  9–17
  20. On the number of integral polynomials of given degree and bounded height with small value of derivative at root of polynomial

    Tr. Inst. Mat., 22:2 (2014),  3–8
  21. On Regular Systems of Real Algebraic Numbers of Third Degree in Short Intervals

    Sovrem. Probl. Mat., 17 (2013),  61–75
  22. On representation of natural numbers by sums of algebraic numbers

    Tr. Inst. Mat., 19:1 (2011),  3–11
  23. On small values of discriminats of polynomials, the product of linear integer polynomials of $n$-th degree

    Tr. Inst. Mat., 16:2 (2008),  57–62
  24. Bad-approximable points and distribution of discriminants of the product of linear integer polynomials

    Chebyshevskii Sb., 8:2 (2007),  140–147
  25. Simultaneous approximations of real and complex numbers by algebraic numbers of special kind

    Tr. Inst. Mat., 15:1 (2007),  3–9
  26. Algebraic points on the plain

    Fundam. Prikl. Mat., 11:6 (2005),  73–80
  27. Polynomials with small discriminants and regular systems of real algebraic numbers

    Zap. Nauchn. Sem. POMI, 322 (2005),  10–16
  28. Metric Diophantine Approximation: The Khintchine–Groshev Theorem for Nondegenerate Manifolds

    Mosc. Math. J., 2:2 (2002),  203–225
  29. Joint approximation of zero by values of integer-valued polynomials

    Trudy Mat. Inst. Steklova, 218 (1997),  58–73
  30. Diophantine approximations and sets of divergence of some Fourier series

    Dokl. Akad. Nauk, 336:2 (1994),  151–153
  31. Effective estimates for the measure of sets defined by Diophantine conditions

    Trudy Mat. Inst. Steklov., 207 (1994),  35–41
  32. Two-dimensional extremal surfaces with jointly extremal partial derivatives

    Mat. Zametki, 50:2 (1991),  14–19
  33. A proof of Baker's conjecture in the metric theory of transcendental numbers

    Dokl. Akad. Nauk SSSR, 277:5 (1984),  1036–1039
  34. A boundary value problem for a system of partial differential equations with constant coefficients

    Differ. Uravn., 16:2 (1980),  273–279
  35. A metric theorem on the simultaneous approximation of a zero by the values of integral polynomials

    Izv. Akad. Nauk SSSR Ser. Mat., 44:1 (1980),  24–45
  36. Exact order of approximation to almost all points of a parabola

    Mat. Zametki, 26:5 (1979),  657–665
  37. An analogue of the multipoint problem for a hyperbolic equation with constant coefficients

    Differ. Uravn., 13:4 (1977),  637–645
  38. Induced extremal surfaces

    Mat. Sb. (N.S.), 103(145):4(8) (1977),  480–489
  39. Extremal property of some surfaces in $n$-dimensional Euclidean space

    Mat. Zametki, 15:2 (1974),  247–254
  40. Asymptotic number of solutions of some systems of diophantine inequalities

    Mat. Zametki, 11:6 (1972),  619–623

  41. Yuri Valentinovich Nesterenko (to the 75th anniversary)

    Chebyshevskii Sb., 23:1 (2022),  10–20
  42. Evgeny Vladimirovich Podsypanin

    Chebyshevskii Sb., 21:4 (2020),  425–426
  43. Nesterenko Yuri Valentinovich (70 anniversary of Yu. V. Nesterenko)

    Chebyshevskii Sb., 17:4 (2016),  211–2210
  44. Letter to the editors

    Izv. RAN. Ser. Mat., 80:3 (2016),  184
  45. All-Union School “Constructive Methods and Algorithms of Number Theory”

    Uspekhi Mat. Nauk, 45:2(272) (1990),  230
  46. Vladimir Gennadievich Sprindzhuk (obituary)

    Uspekhi Mat. Nauk, 43:4(262) (1988),  161–162

© Steklov Math. Inst. of RAS, 2024