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Budarina, Natalia Viktorovna

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Author ID: budarina.natalia-v Recent zbMATH articles by "Budarina, Natalia Viktorovna"
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

Publications by Year

Citations contained in zbMATH

25 Publications have been cited 75 times in 51 Documents Cited by Year
Simultaneous Diophantine approximation on polynomial curves. Zbl 1279.11076
Budarina, Natalia; Dickinson, Detta; Levesley, Jason
14
2010
Simultaneous Diophantine approximation in the real, complex and \(p\)-adic fields. Zbl 1221.11159
Budarina, Natalia; Dickinson, Detta; Bernik, Vasili
9
2010
A divergent Khintchine theorem in the real, complex, and \(p\)-adic fields. Zbl 1143.11337
Bernik, V.; Budarina, N.; Dickinson, D.
8
2008
Distance between conjugate algebraic numbers in clusters. Zbl 1284.11051
Budarina, N. V.; Goetze, F.
5
2013
On the number of polynomials with small discriminants in the Euclidean and \(p\)-adic metrics. Zbl 1275.11109
Yuan, Jin; Budarina, Natalia; Dickinson, Detta
4
2012
On simultaneous rational approximation to a \(p\)-adic number and its integral powers. Zbl 1264.11058
Bugeaud, Yann; Budarina, Natalia; Dickinson, Detta; O’Donnell, Hugh
4
2011
Exact upper bounds for the number of the polynomials with given discriminants. Zbl 1435.11097
Bernik, Vasili; Budarina, Natalia; Götze, Friedrich
3
2017
Khintchine’s theorem and approximation of zero by the values of integer polynomials in different metrics. Zbl 1175.11040
Budarina, 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 1157.11032
Budarina, N.; Dickinson, D.
3
2007
Discriminants of polynomials in the Archimedean and non-Archimedean metrics. Zbl 1399.11124
Bernik, V.; Budarina, N.; O’Donnell, H.
2
2018
On arithmetic properties of integral polynomials with small values on the interval. Zbl 1300.11081
Bernik, Vasilii; Budarina, Natalia
2
2013
On primitively universal quadratic forms. Zbl 1247.11047
Budarina, N.
2
2010
Non-homogeneous analogue of Khintchine’s theorem in divergence case for simultaneous approximations in different metrics. Zbl 1208.11087
Budarina, Natalia; Zorin, Evgenii
2
2009
Diophantine approximation on non-degenerate curves with non-monotonic error function. Zbl 1180.11025
Budarina, Natalia; Dickinson, Detta
2
2009
On the number of solutions of nonhomogeneous equations. Zbl 1103.11012
Budarina, N. V.
2
2001
On the rate of convergence to zero of the measure of extremal sets in metric theory of transcendental numbers. Zbl 1443.11145
Budarina, Natalia
1
2019
On regular systems of algebraic \(p\)-adic numbers of arbitrary degree in small cylinders. Zbl 1388.11038
Budarina, N. V.; Götze, F.
1
2015
Inhomogeneous Diophantine approximation on integer polynomials with non-monotonic error function. Zbl 1292.11086
Budarina, Natalia; Dickinson, Detta
1
2013
The Mahler problem with nonmonotone right-hand side in the field of complex numbers. Zbl 1338.11064
Budarina, N. V.
1
2013
Real algebraic numbers of the third degree in short intervals. Zbl 1366.11106
Budarina, 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 1268.11093
Budarina, Natalia; O’Donnell, Hugh
1
2012
On real and complex roots of integer polynomials in a neighborhood of their small values. Zbl 1267.11027
Budarina, 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 1311.11073
Budarina, Natalia
1
2010
Simultaneous Diophantine approximation of integral polynomials in the different metrics. Zbl 1355.11077
Budarina, Natalia; Dickinson, Detta
1
2008
Deformations of Diophantine systems for quadratic forms of cubic lattices. Zbl 1077.11025
Budarina, N. V.
1
2002
On the rate of convergence to zero of the measure of extremal sets in metric theory of transcendental numbers. Zbl 1443.11145
Budarina, Natalia
1
2019
Discriminants of polynomials in the Archimedean and non-Archimedean metrics. Zbl 1399.11124
Bernik, V.; Budarina, N.; O’Donnell, H.
2
2018
Exact upper bounds for the number of the polynomials with given discriminants. Zbl 1435.11097
Bernik, Vasili; Budarina, Natalia; Götze, Friedrich
3
2017
On regular systems of algebraic \(p\)-adic numbers of arbitrary degree in small cylinders. Zbl 1388.11038
Budarina, N. V.; Götze, F.
1
2015
Distance between conjugate algebraic numbers in clusters. Zbl 1284.11051
Budarina, N. V.; Goetze, F.
5
2013
On arithmetic properties of integral polynomials with small values on the interval. Zbl 1300.11081
Bernik, Vasilii; Budarina, Natalia
2
2013
Inhomogeneous Diophantine approximation on integer polynomials with non-monotonic error function. Zbl 1292.11086
Budarina, Natalia; Dickinson, Detta
1
2013
The Mahler problem with nonmonotone right-hand side in the field of complex numbers. Zbl 1338.11064
Budarina, N. V.
1
2013
On the number of polynomials with small discriminants in the Euclidean and \(p\)-adic metrics. Zbl 1275.11109
Yuan, Jin; Budarina, Natalia; Dickinson, Detta
4
2012
Real algebraic numbers of the third degree in short intervals. Zbl 1366.11106
Budarina, 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 1268.11093
Budarina, Natalia; O’Donnell, Hugh
1
2012
On simultaneous rational approximation to a \(p\)-adic number and its integral powers. Zbl 1264.11058
Bugeaud, 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 1267.11027
Budarina, N. V.; Dickinson, D.; Bernik, V. I.
1
2011
Simultaneous Diophantine approximation on polynomial curves. Zbl 1279.11076
Budarina, Natalia; Dickinson, Detta; Levesley, Jason
14
2010
Simultaneous Diophantine approximation in the real, complex and \(p\)-adic fields. Zbl 1221.11159
Budarina, Natalia; Dickinson, Detta; Bernik, Vasili
9
2010
On primitively universal quadratic forms. Zbl 1247.11047
Budarina, N.
2
2010
Diophantine approximation on the curves with non-monotonic error function in the \(p\)-adic case. Zbl 1311.11073
Budarina, Natalia
1
2010
Non-homogeneous analogue of Khintchine’s theorem in divergence case for simultaneous approximations in different metrics. Zbl 1208.11087
Budarina, Natalia; Zorin, Evgenii
2
2009
Diophantine approximation on non-degenerate curves with non-monotonic error function. Zbl 1180.11025
Budarina, Natalia; Dickinson, Detta
2
2009
A divergent Khintchine theorem in the real, complex, and \(p\)-adic fields. Zbl 1143.11337
Bernik, V.; Budarina, N.; Dickinson, D.
8
2008
Simultaneous Diophantine approximation of integral polynomials in the different metrics. Zbl 1355.11077
Budarina, Natalia; Dickinson, Detta
1
2008
Khintchine’s theorem and approximation of zero by the values of integer polynomials in different metrics. Zbl 1175.11040
Budarina, 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 1157.11032
Budarina, N.; Dickinson, D.
3
2007
Deformations of Diophantine systems for quadratic forms of cubic lattices. Zbl 1077.11025
Budarina, N. V.
1
2002
On the number of solutions of nonhomogeneous equations. Zbl 1103.11012
Budarina, N. V.
2
2001

Citations by Year