Budarina Natal'ya Viktorovna

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Total publications: 22
Scientific articles: 21

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Publications in Math-Net.Ru
1. Problem of Nesterenko and method of Bernik
N. V. Budarina, H. O'Donnell
Chebyshevskii Sb., 17:4 (2016),  180–184
2. How does the discriminant of integer polynomials depend on the distribution of roots?
N. V. Budarina, V. I. Bernik, H. O'Donnell
Chebyshevskii Sb., 16:1 (2015),  153–162
3. On regular systems of algebraic $p$-adic numbers of arbitrary degree in small cylinders
N. V. Budarina, F. Götze
Dal'nevost. Mat. Zh., 15:2 (2015),  133–155
4. Effective estimations of the measure of the sets of real numbers in which integer polynomials take small value
N. V. Budarina, V. I. Bernik, F. Götze
Dal'nevost. Mat. Zh., 15:1 (2015),  21–37
5. Upper bounds for the number of integer polynomials with given discriminants
N. V. Budarina, D. Dickinson, V. I. Bernik
Tr. Inst. Mat., 23:2 (2015),  29–36
6. On the size of $p$-adic cylinder for which the regular system of algebraic numbers can be constructed
N. V. Budarina, M. V. Lamchanovskaya
Tr. Inst. Mat., 22:2 (2014),  96–108
7. On the relation between a factorization of a polynomial resultant and the frequency of itís occurence
N. V. Budarina, V. I. Bernik, H. O'Donnell
Tr. Inst. Mat., 22:2 (2014),  9–17
8. Inhomogeneous Diophantine approximation on curves with non-monotonic error function
N. V. Budarina
Dal'nevost. Mat. Zh., 13:2 (2013),  164–178
9. Distance between Conjugate Algebraic Numbers in Clusters
N. V. Budarina, F. Götze
Mat. Zametki, 94:5 (2013),  780–783
10. The Mahler Problem with Nonmonotone Right-Hand Side in the Field of Complex Numbers
N. V. Budarina
Mat. Zametki, 93:6 (2013),  812–820
11. On Regular Systems of Real Algebraic Numbers of Third Degree in Short Intervals
V. I. Bernik, N. Budarina, H. O'Donnell
Sovrem. Probl. Mat., 17 (2013),  61–75
12. On primitively 2-universal quadratic forms
N. V. Budarina
Algebra i Analiz, 23:3 (2011),  31–62
13. Regular and ubiquitous systems for simultaneous Diophantine approximations
N. V. Budarina
Chebyshevskii Sb., 12:4 (2011),  43–74
14. Metric theory of simultaneous Diophantine approximations in $\mathbb{R}^k\times\mathbb{C}^l\times\mathbb{Q}^m_p$
N. V. Budarina
Chebyshevskii Sb., 12:1 (2011),  17–50
15. The arithmetic nature of the triple and quintuple product identities
N. V. Budarina, V. A. Bykovskii
Dal'nevost. Mat. Zh., 11:2 (2011),  140–148
16. Diophantine approximation on the curves with non–monotonic error function in the $p$-adic case
Natalia Budarina
Chebyshevskii Sb., 11:1 (2010),  74–80
17. Simultaneous Diophantine approximation of integral polynomials in the different metrics
Natalia Budarina, Detta Dickinson
Chebyshevskii Sb., 9:1 (2008),  169–184
18. $P$-adic Diophantine approximation on the Veronese curve with a non-monotonic error
N. V. Budarina, D. Dickinson
Tr. Inst. Mat., 15:1 (2007),  98–104
19. Simultaneous approximations of real and complex numbers by algebraic numbers of special kind
N. V. Budarina, D. Dickinson, V. I. Bernik
Tr. Inst. Mat., 15:1 (2007),  3–9
20. Deformations of Diophantine systems for quadratic forms of the root lattices $A_n$
N. V. Budarina
Zap. Nauchn. Sem. POMI, 314 (2004),  5–14
21. Deformations of Diophantine systems for quadratic forms of the cubic lattices
N. V. Budarina
Zap. Nauchn. Sem. POMI, 286 (2002),  5–35

22. Vasily Ivanovich Bernik (on his seventieth)
Yu. V. Nesterenko, V. A. Bykovskii, V. M. Buchstaber, V. G. Chirsky, V. N. Chubarikov, A. Laurinchikas, N. M. Dobrovolsky, N. V. Budarina, I. V. Gaishun, V. V. Beresnevich, D. V. Vasiliev
Chebyshevskii Sb., 17:4 (2016),  203–210

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