Budarina Natal'ya Viktorovna

Publications in Math-Net.Ru

1. Measure estimate for $p$-adic Diophantine approximation
   
   Chebyshevskii Sb., 23:3 (2022),  19–36
2. Exact bounds for the special class of integer polynomials with given discriminant
   
   Chebyshevskii Sb., 20:2 (2019),  39–46
3. Distribution of zeros of nondegenerate functions on short cuttings II
   
   Chebyshevskii Sb., 19:1 (2018),  5–14
4. Distribution of zeros of nondegenerate functions on short cuttings
   
   Chebyshevskii Sb., 18:4 (2017),  107–115
5. Problem of Nesterenko and method of Bernik
   
   Chebyshevskii Sb., 17:4 (2016),  180–184
6. How does the discriminant of integer polynomials depend on the distribution of roots?
   
   Chebyshevskii Sb., 16:1 (2015),  153–162
7. On regular systems of algebraic $p$-adic numbers of arbitrary degree in small cylinders
   
   Dal'nevost. Mat. Zh., 15:2 (2015),  133–155
8. 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
9. Upper bounds for the number of integer polynomials with given discriminants
   
   Tr. Inst. Mat., 23:2 (2015),  29–36
10. On the size of $p$-adic cylinder for which the regular system of algebraic numbers can be constructed
    
    Tr. Inst. Mat., 22:2 (2014),  96–108
11. 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
12. Inhomogeneous Diophantine approximation on curves with non-monotonic error function
    
    Dal'nevost. Mat. Zh., 13:2 (2013),  164–178
13. Distance between Conjugate Algebraic Numbers in Clusters
    
    Mat. Zametki, 94:5 (2013),  780–783
14. The Mahler Problem with Nonmonotone Right-Hand Side in the Field of Complex Numbers
    
    Mat. Zametki, 93:6 (2013),  812–820
15. On Regular Systems of Real Algebraic Numbers of Third Degree in Short Intervals
    
    Sovrem. Probl. Mat., 17 (2013),  61–75
16. On primitively 2-universal quadratic forms
    
    Algebra i Analiz, 23:3 (2011),  31–62
17. Regular and ubiquitous systems for simultaneous Diophantine approximations
    
    Chebyshevskii Sb., 12:4 (2011),  43–74
18. Metric theory of simultaneous Diophantine approximations in $\mathbb{R}^k\times\mathbb{C}^l\times\mathbb{Q}^m_p$
    
    Chebyshevskii Sb., 12:1 (2011),  17–50
19. The arithmetic nature of the triple and quintuple product identities
    
    Dal'nevost. Mat. Zh., 11:2 (2011),  140–148
20. Diophantine approximation on the curves with non–monotonic error function in the $p$-adic case
    
    Chebyshevskii Sb., 11:1 (2010),  74–80
21. Simultaneous Diophantine approximation of integral polynomials in the different metrics
    
    Chebyshevskii Sb., 9:1 (2008),  169–184
22. $P$-adic Diophantine approximation on the Veronese curve with a non-monotonic error
    
    Tr. Inst. Mat., 15:1 (2007),  98–104
23. Simultaneous approximations of real and complex numbers by algebraic numbers of special kind
    
    Tr. Inst. Mat., 15:1 (2007),  3–9
24. Deformations of Diophantine systems for quadratic forms of the root lattices $A_n$
    
    Zap. Nauchn. Sem. POMI, 314 (2004),  5–14
25. Deformations of Diophantine systems for quadratic forms of the cubic lattices
    
    Zap. Nauchn. Sem. POMI, 286 (2002),  5–35


26. Vasily Ivanovich Bernik (to the 75th anniversary)
    
    Chebyshevskii Sb., 23:1 (2022),  6–9
27. Vasily Ivanovich Bernik (on his seventieth)
    
    Chebyshevskii Sb., 17:4 (2016),  203–210