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Publications in Math-Net.Ru |
Citations |
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2022 |
| 1. |
N. V. Budarina, “Measure estimate for $p$-adic Diophantine approximation”, Chebyshevskii Sb., 23:3 (2022), 19–36  |
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2019 |
| 2. |
N. V. Budarina, “Exact bounds for the special class of integer polynomials with given discriminant”, Chebyshevskii Sb., 20:2 (2019), 39–46 |
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2018 |
| 3. |
V. I. Bernik, N. V. Budarina, A. V. Lunevich, H. O'Donnell, “Distribution of zeros of nondegenerate functions on short cuttings II”, Chebyshevskii Sb., 19:1 (2018), 5–14  |
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2017 |
| 4. |
V. I. Bernik, N. V. Budarina, A. V. Lunevich, H. O'Donnel, “Distribution of zeros of nondegenerate functions on short cuttings”, Chebyshevskii Sb., 18:4 (2017), 107–115 |
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2016 |
| 5. |
N. V. Budarina, H. O'Donnell, “Problem of Nesterenko and method of Bernik”, Chebyshevskii Sb., 17:4 (2016), 180–184 |
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2015 |
| 6. |
N. V. Budarina, V. I. Bernik, H. O'Donnell, “How does the discriminant of integer polynomials depend on the distribution of roots?”, Chebyshevskii Sb., 16:1 (2015), 153–162 |
| 7. |
N. V. Budarina, F. Götze, “On regular systems of algebraic $p$-adic numbers of arbitrary degree in small cylinders”, Dal'nevost. Mat. Zh., 15:2 (2015), 133–155 |
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| 8. |
N. V. Budarina, V. I. Bernik, F. Götze, “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. |
N. V. Budarina, D. Dickinson, V. I. Bernik, “Upper bounds for the number of integer polynomials with given discriminants”, Tr. Inst. Mat., 23:2 (2015), 29–36 |
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2014 |
| 10. |
N. V. Budarina, M. V. Lamchanovskaya, “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. |
N. V. Budarina, V. I. Bernik, H. O'Donnell, “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 |
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2013 |
| 12. |
N. V. Budarina, “Inhomogeneous Diophantine approximation on curves with non-monotonic error function”, Dal'nevost. Mat. Zh., 13:2 (2013), 164–178 |
| 13. |
N. V. Budarina, F. Götze, “Distance between Conjugate Algebraic Numbers in Clusters”, Mat. Zametki, 94:5 (2013), 780–783   ; Math. Notes, 94:5 (2013), 816–819   |
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| 14. |
N. V. Budarina, “The Mahler Problem with Nonmonotone Right-Hand Side in the Field of Complex Numbers”, Mat. Zametki, 93:6 (2013), 812–820 ; Math. Notes, 93:6 (2013), 802–809 |
| 15. |
V. I. Bernik, N. Budarina, H. O'Donnell, “On Regular Systems of Real Algebraic Numbers of Third Degree in Short Intervals”, Sovrem. Probl. Mat., 17 (2013), 61–75 ; Proc. Steklov Inst. Math., 282, suppl. 1 (2013), S54–S66 |
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2011 |
| 16. |
N. V. Budarina, “On primitively 2-universal quadratic forms”, Algebra i Analiz, 23:3 (2011), 31–62 ; St. Petersburg Math. J., 23:3 (2012), 435–458 |
| 17. |
N. V. Budarina, “Regular and ubiquitous systems for simultaneous Diophantine approximations”, Chebyshevskii Sb., 12:4 (2011), 43–74 |
| 18. |
N. V. Budarina, “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 |
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| 19. |
N. V. Budarina, V. A. Bykovskii, “The arithmetic nature of the triple and quintuple product identities”, Dal'nevost. Mat. Zh., 11:2 (2011), 140–148 |
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2010 |
| 20. |
Natalia Budarina, “Diophantine approximation on the curves with non–monotonic error function in the $p$-adic case”, Chebyshevskii Sb., 11:1 (2010), 74–80 |
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2008 |
| 21. |
Natalia Budarina, Detta Dickinson, “Simultaneous Diophantine approximation of integral polynomials in the different metrics”, Chebyshevskii Sb., 9:1 (2008), 169–184 |
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2007 |
| 22. |
N. V. Budarina, D. Dickinson, “$P$-adic Diophantine approximation on the Veronese curve with a non-monotonic error”, Tr. Inst. Mat., 15:1 (2007), 98–104 |
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| 23. |
N. V. Budarina, D. Dickinson, V. I. Bernik, “Simultaneous approximations of real and complex numbers by algebraic numbers of special kind”, Tr. Inst. Mat., 15:1 (2007), 3–9 |
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2004 |
| 24. |
N. V. Budarina, “Deformations of Diophantine systems for quadratic forms of the root lattices $A_n$”, Zap. Nauchn. Sem. POMI, 314 (2004), 5–14 ; J. Math. Sci. (N. Y.), 133:5 (2006), 1605–1610 |
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2002 |
| 25. |
N. V. Budarina, “Deformations of Diophantine systems for quadratic forms of the cubic lattices”, Zap. Nauchn. Sem. POMI, 286 (2002), 5–35 ; J. Math. Sci. (N. Y.), 122:6 (2004), 3583–3599 |
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2022 |
| 26. |
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)”, Chebyshevskii Sb., 23:1 (2022), 6–9 |
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2016 |
| 27. |
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, “Vasily Ivanovich Bernik (on his seventieth)”, Chebyshevskii Sb., 17:4 (2016), 203–210 |
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| Presentations in Math-Net.Ru |
| 1. |
An effective estimate for a special class of polynomials
N. V. Budarina
XV International Conference «Algebra, Number Theory and Discrete Geometry: modern problems and applications», dedicated to the centenary of the birth of the Doctor of Physical and Mathematical Sciences, Professor of the Moscow State University Korobov Nikolai Mikhailovich
May 30, 2018 17:00
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