Edit Profile Budarina, Natalia Viktorovna Compute Distance To: Compute Author ID: budarina.natalia-v Published as: Budarina, N.; Budarina, N. V.; Budarina, Natalia; Budarina, Natalia V.; Budarina, Natalie V. External Links: Math-Net.Ru · ResearchGate Documents Indexed: 56 Publications since 2001 all top 5 Co-Authors 20 single-authored 12 Dickinson, Detta 10 Bernik, Vasiliĭ Ivanovich 5 O’Donnell, Hugh 4 Götze, Friedrich W. 2 Zorin, Evgeniy V. 1 Bugeaud, Yann 1 Levesley, Jason 1 Manuĭlov, N. N. 1 Shutov, Anton V. 1 Yuan, Jin all top 5 Serials 9 Chebyshevskiĭ Sbornik 5 Lithuanian Mathematical Journal 3 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 2 Mathematical Notes 2 Doklady Mathematics 2 Doklady Natsional’noĭ Akademii Nauk Belarusi 2 International Journal of Number Theory 2 Šiauliai Mathematical Seminar 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Arithmetica 1 Bulletin of the London Mathematical Society 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 Mathematische Zeitschrift 1 Mathematika 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Indagationes Mathematicae. New Series 1 Zapiski Nauchnykh Seminarov POMI 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Vestnik Belorusskogo Gosudarstvennogo Universiteta. Seria 1. Fizika, Matematika, Informatika 1 Acta Mathematica Sinica. English Series 1 Fizikos ir Matematikos Fakulteto Mokslinio Seminaro Darbai 1 Proceedings of the Steklov Institute of Mathematics Fields 44 Number theory (11-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 25 Publications have been cited 75 times in 51 Documents Cited by ▼ Year ▼ Simultaneous Diophantine approximation on polynomial curves. Zbl 1279.11076Budarina, Natalia; Dickinson, Detta; Levesley, Jason 14 2010 Simultaneous Diophantine approximation in the real, complex and \(p\)-adic fields. Zbl 1221.11159Budarina, Natalia; Dickinson, Detta; Bernik, Vasili 9 2010 A divergent Khintchine theorem in the real, complex, and \(p\)-adic fields. Zbl 1143.11337Bernik, V.; Budarina, N.; Dickinson, D. 8 2008 Distance between conjugate algebraic numbers in clusters. Zbl 1284.11051Budarina, N. V.; Goetze, F. 5 2013 On the number of polynomials with small discriminants in the Euclidean and \(p\)-adic metrics. Zbl 1275.11109Yuan, Jin; Budarina, Natalia; Dickinson, Detta 4 2012 On simultaneous rational approximation to a \(p\)-adic number and its integral powers. Zbl 1264.11058Bugeaud, Yann; Budarina, Natalia; Dickinson, Detta; O’Donnell, Hugh 4 2011 Exact upper bounds for the number of the polynomials with given discriminants. Zbl 1435.11097Bernik, Vasili; Budarina, Natalia; Götze, Friedrich 3 2017 Khintchine’s theorem and approximation of zero by the values of integer polynomials in different metrics. Zbl 1175.11040Budarina, N. V.; Dickinson, D.; Bernik, V. I. 3 2007 Simultaneous Diophantine approximation on surfaces defined by polynomial expressions \(x^d_1+\dots+x^d_m\). Zbl 1157.11032Budarina, N.; Dickinson, D. 3 2007 Discriminants of polynomials in the Archimedean and non-Archimedean metrics. Zbl 1399.11124Bernik, V.; Budarina, N.; O’Donnell, H. 2 2018 On arithmetic properties of integral polynomials with small values on the interval. Zbl 1300.11081Bernik, Vasilii; Budarina, Natalia 2 2013 On primitively universal quadratic forms. Zbl 1247.11047Budarina, N. 2 2010 Non-homogeneous analogue of Khintchine’s theorem in divergence case for simultaneous approximations in different metrics. Zbl 1208.11087Budarina, Natalia; Zorin, Evgenii 2 2009 Diophantine approximation on non-degenerate curves with non-monotonic error function. Zbl 1180.11025Budarina, Natalia; Dickinson, Detta 2 2009 On the number of solutions of nonhomogeneous equations. Zbl 1103.11012Budarina, N. V. 2 2001 On the rate of convergence to zero of the measure of extremal sets in metric theory of transcendental numbers. Zbl 1443.11145Budarina, Natalia 1 2019 On regular systems of algebraic \(p\)-adic numbers of arbitrary degree in small cylinders. Zbl 1388.11038Budarina, N. V.; Götze, F. 1 2015 Inhomogeneous Diophantine approximation on integer polynomials with non-monotonic error function. Zbl 1292.11086Budarina, Natalia; Dickinson, Detta 1 2013 The Mahler problem with nonmonotone right-hand side in the field of complex numbers. Zbl 1338.11064Budarina, N. V. 1 2013 Real algebraic numbers of the third degree in short intervals. Zbl 1366.11106Budarina, N. V.; Bernik, V. I.; O’Donnell, H. 1 2012 On a problem of Nesterenko: when is the closest root of a polynomial a real number? Zbl 1268.11093Budarina, Natalia; O’Donnell, Hugh 1 2012 On real and complex roots of integer polynomials in a neighborhood of their small values. Zbl 1267.11027Budarina, N. V.; Dickinson, D.; Bernik, V. I. 1 2011 Diophantine approximation on the curves with non-monotonic error function in the \(p\)-adic case. Zbl 1311.11073Budarina, Natalia 1 2010 Simultaneous Diophantine approximation of integral polynomials in the different metrics. Zbl 1355.11077Budarina, Natalia; Dickinson, Detta 1 2008 Deformations of Diophantine systems for quadratic forms of cubic lattices. Zbl 1077.11025Budarina, N. V. 1 2002 On the rate of convergence to zero of the measure of extremal sets in metric theory of transcendental numbers. Zbl 1443.11145Budarina, Natalia 1 2019 Discriminants of polynomials in the Archimedean and non-Archimedean metrics. Zbl 1399.11124Bernik, V.; Budarina, N.; O’Donnell, H. 2 2018 Exact upper bounds for the number of the polynomials with given discriminants. Zbl 1435.11097Bernik, Vasili; Budarina, Natalia; Götze, Friedrich 3 2017 On regular systems of algebraic \(p\)-adic numbers of arbitrary degree in small cylinders. Zbl 1388.11038Budarina, N. V.; Götze, F. 1 2015 Distance between conjugate algebraic numbers in clusters. Zbl 1284.11051Budarina, N. V.; Goetze, F. 5 2013 On arithmetic properties of integral polynomials with small values on the interval. Zbl 1300.11081Bernik, Vasilii; Budarina, Natalia 2 2013 Inhomogeneous Diophantine approximation on integer polynomials with non-monotonic error function. Zbl 1292.11086Budarina, Natalia; Dickinson, Detta 1 2013 The Mahler problem with nonmonotone right-hand side in the field of complex numbers. Zbl 1338.11064Budarina, N. V. 1 2013 On the number of polynomials with small discriminants in the Euclidean and \(p\)-adic metrics. Zbl 1275.11109Yuan, Jin; Budarina, Natalia; Dickinson, Detta 4 2012 Real algebraic numbers of the third degree in short intervals. Zbl 1366.11106Budarina, N. V.; Bernik, V. I.; O’Donnell, H. 1 2012 On a problem of Nesterenko: when is the closest root of a polynomial a real number? Zbl 1268.11093Budarina, Natalia; O’Donnell, Hugh 1 2012 On simultaneous rational approximation to a \(p\)-adic number and its integral powers. Zbl 1264.11058Bugeaud, Yann; Budarina, Natalia; Dickinson, Detta; O’Donnell, Hugh 4 2011 On real and complex roots of integer polynomials in a neighborhood of their small values. Zbl 1267.11027Budarina, N. V.; Dickinson, D.; Bernik, V. I. 1 2011 Simultaneous Diophantine approximation on polynomial curves. Zbl 1279.11076Budarina, Natalia; Dickinson, Detta; Levesley, Jason 14 2010 Simultaneous Diophantine approximation in the real, complex and \(p\)-adic fields. Zbl 1221.11159Budarina, Natalia; Dickinson, Detta; Bernik, Vasili 9 2010 On primitively universal quadratic forms. Zbl 1247.11047Budarina, N. 2 2010 Diophantine approximation on the curves with non-monotonic error function in the \(p\)-adic case. Zbl 1311.11073Budarina, Natalia 1 2010 Non-homogeneous analogue of Khintchine’s theorem in divergence case for simultaneous approximations in different metrics. Zbl 1208.11087Budarina, Natalia; Zorin, Evgenii 2 2009 Diophantine approximation on non-degenerate curves with non-monotonic error function. Zbl 1180.11025Budarina, Natalia; Dickinson, Detta 2 2009 A divergent Khintchine theorem in the real, complex, and \(p\)-adic fields. Zbl 1143.11337Bernik, V.; Budarina, N.; Dickinson, D. 8 2008 Simultaneous Diophantine approximation of integral polynomials in the different metrics. Zbl 1355.11077Budarina, Natalia; Dickinson, Detta 1 2008 Khintchine’s theorem and approximation of zero by the values of integer polynomials in different metrics. Zbl 1175.11040Budarina, N. V.; Dickinson, D.; Bernik, V. I. 3 2007 Simultaneous Diophantine approximation on surfaces defined by polynomial expressions \(x^d_1+\dots+x^d_m\). Zbl 1157.11032Budarina, N.; Dickinson, D. 3 2007 Deformations of Diophantine systems for quadratic forms of cubic lattices. Zbl 1077.11025Budarina, N. V. 1 2002 On the number of solutions of nonhomogeneous equations. Zbl 1103.11012Budarina, N. V. 2 2001 all cited Publications top 5 cited Publications all top 5 Cited by 40 Authors 15 Budarina, Natalia Viktorovna 11 Bernik, Vasiliĭ Ivanovich 6 O’Donnell, Hugh 6 Schleischitz, Johannes 5 Dickinson, Detta 4 Bugeaud, Yann 3 Budarina, Nataliya Viktorovna 3 Götze, Friedrich W. 3 Gusakova, Anna Grigorevna 2 Beresnevich, Victor V. 2 Dubickas, Artūras 2 Fishman, Lior 2 Kaliada, Dzianis 2 Kovalevskaya, Èlla Ivanovna 2 Kudin, Alekseĭ Sergeevich 2 Simmons, David 1 Adiceam, Faustin 1 Badziahin, Dmitry 1 Badziahin, Dzmitry A. 1 Earnest, Andrew G. 1 Fomenko, Oleg Mstislavovich 1 Huang, Jingjing 1 Hussain, Mumtaz 1 Inoue, Hideki 1 Kim, Ji Young 1 Kleinbock, Dmitry Ya. 1 Kuźmina, Galina Vasil’evna 1 Lunevich, Artëm Vadimovich 1 McGuire, Stephen A. 1 Merrill, Keith 1 Meyer, N. D. 1 Naito, Koichiro 1 Ooto, Tomohiro 1 Pejković, Tomislav 1 Rykova, O. V. 1 Sha, Min 1 Tiljeset, Morten Hein 1 Ustinov, Alekseĭ Vladimirovich 1 Yuan, Jin 1 Zaporozhets, Dmitry all top 5 Cited in 31 Serials 5 Lithuanian Mathematical Journal 5 Chebyshevskiĭ Sbornik 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Trudy Instituta Matematiki 3 International Journal of Number Theory 2 Glasgow Mathematical Journal 2 Mathematika 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Transactions of the American Mathematical Society 2 Acta Mathematica Hungarica 2 St. Petersburg Mathematical Journal 1 Journal of Mathematical Analysis and Applications 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Number Theory 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 Tatra Mountains Mathematical Publications 1 Journal of Mathematical Sciences (New York) 1 The New York Journal of Mathematics 1 Doklady Mathematics 1 The Ramanujan Journal 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications all top 5 Cited in 7 Fields 50 Number theory (11-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Measure and integration (28-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Computer science (68-XX) Citations by Year