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Список литературы
|
|
| |
| 1. |
Ибрагимов И. А., Маслова Н. Б., “О среднем числе вещественных нулей случайных полиномов. II. Коэффициенты с ненулевым средним”, Теория вероятн. и ее примен., 16 (1971), 595–503 ; Ibragimov I. A., Maslova N. B., “On the Expected Number of Real Zeros of Random Polynomials. II. Coefficients With Non-Zero Means”, Theory Probab. Appl., 16 (1971), 486–493 |
| 2. |
Запорожец Д. Н., Ибрагимов И. А., “О площади случайной поверхности. Вероятность и статистика”, Зап. научн. сем. ПОМИ, 384, 2010, 154–175 ; Zaporozhets D. N., Ibragimov I. A., “On random surface area"”, Journal of Mathematical Sciences, 176 (2010), 190–202 |
| 3. |
Берник В. И., Гётце Ф., “Распределение действительных алгебраических чисел произвольной степени в коротких интервалах”, Изв. РАН. Сер. матем., 79:1 (2015), 21–42 [Bernik V., Götze F., “Distribution of real algebraic numbers of arbitrary degree in short intervals”, Izvestiya: Mathematics, 79:1 (2015), 21–42] |
| 4. |
Beresnevich V., “On approximation of real numbers by real algebraic numbers”, Acta Arith., 90:8 (1999), 97–112 |
| 5. |
Beresnevich V., Bernik V., “On a metrical theorem of W. Shmidt. Acta Arith”, Acta Arith., 75 (1996), 219–233 |
| 6. |
Beresnevich V. A., “Grasher type theorem for convergence on maifolds”, Acta Matth. Hung., 94:1–2 (2002), 99–130 |
| 7. |
Baker R., “Metric diophantine approximation on manifolds”, J. Lond. Math. Soc., 14 (1976), 43–48 |
| 8. |
Berink V., “On the exact order of approximation of zero by the values of integer-valued polynomials”, Acta. Arith., 53:1 (1989), 17–28 |
| 9. |
Berink V., Kleinbok D., Marguli Y., “Khinchine-type theorems on manifolds: the convergence case for standart and multiplicative versions”, Jntern. Math. Res., 9 (2001), 453–486 |
| 10. |
Berink V., Götze F., “Distribution of real algebraic numbers of arbitary degree in short intervals”, Jzv. Math. RAN, 79:1 (2015), 18–39 |
| 11. |
Berink V., Gusakova A., Götze F., “On ponts with algebraically conjugate coordinates close to smooth curves”, Moscow Journal of Combinations and Number Theory, 6:2–3 (2016), 56–101 |
| 12. |
Kleinbok D., Margulis G., “Flow on homogeneous spaces and Diophantine approximation on manifolds”, Ann. of Math., 148:2 (1998), 339–360 |
| 13. |
Mahker K., “Über das Mass der Menge aller S-Zhlen”, Math. Ann., 106 (1932), 131–139 |
| 14. |
Pyartly A., “Diophantine approximation on submanifolds of euclidion space”, Funk. Analis and its application, 3:4 (1969), 303–306 |
| 15. |
Shmidt W., “Metrische Satze über simultane Approximationen abhangiger Grossen”, Monatsh. Math., 68 (1964), 145–166 |
| 16. |
Sprindzuk V., “Achievements and problems of the theory of Diophantine approximations”, Uspekhi mat. Baur., 35:4 (1980), 3–68 |
| 17. |
Sprindzuk V., Mahler problem in metric theory numbers, Eng. trans., Amer. Math. Soc., Providence, 1969 |
| 18. |
Götze F., Koleda D., Zaporozhets D., “Distribution of complex algebraic numbers”, Proc. Amer. Math. Soc., 145:1 (2017), 61–71 |
| 19. |
Bernik A., Götzeb F., Kukso O., “Bad-approximable points and distribution of discriminants of the product of linear integer polynomials”, Чебышевский сб., 8:2 (2007), 140–147 [Bernik A., Götzeb F., Kukso O., “Bad-approximable points and distribution of discriminants of the product of linear integer polynomials”, Chebyshevskii Sbornik, 8:2 (2007), 140–147] |
| 20. |
Bernik A., Götzeb F., Gusakova A., “On the distribution of points with algebraically conjugate coordinates in a neighborhood of smooth curves”, Записки ПОМИ, 2016, 14–47 [Bernik A., Götzeb F., Gusakova A., “On the distribution of points with algebraically conjugate coordinates in a neighborhood of smooth curves”, Zapiski POMI, 2016, 14–47] |
| 21. |
Beresnevich V., Bernik V., Götze F., “Integral polynomials with small discriminants and resultants”, Adv. Math., 298 (2016), 393–412 |
| 22. |
Koleda D. V., “On the density function of the distribution of real algebraic numbers”, Journal de Theorie des Nombres de Bordeaux, 29 (2017), 179–200 |