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Литература
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P. Bleher, X. Di, “Correlations between zeros of non-Gaussian random polynomials”, Int. Math. Res. Not., 46 (2004), 2443–2484 |
3. |
H. Federer, Geometric measure theory, Springer, 1969 |
4. |
F. Götze, D. Kaliada, D. Zaporozhets, “Distribution of complex algebraic numbers”, Proc. Amer. Math. Soc., 145 (2017), 61–67 |
5. |
F. Götze, D. Zaporozhets, Discriminant and root separation of integral polynomials, Preprint, 2014, arXiv: 1407.6388 |
6. |
J. B. Hough, M. Krishnapur, Y. Peres, B. Virág, Zeros of Gaussian analytic functions and determinantal point processes, University Lecture Series, 51, AMS, 2009 |
7. |
D. Kaliada, On the density function of the distribution of real algebraic numbers, Preprint, 2014, arXiv: 1405.1627 |
8. |
D. Kaliada, “On the frequency of integer polynomials with a given number of close roots”, Tr. Inst. Mat. (Minsk), 20:2 (2012), 51–63 (In Russian) |
9. |
I. Macdonald, Symmetric Functions and Hall Folynomials, Oxford mathematical monographs, 2nd edition, Oxford University Press, 1998 |
10. |
D. Zaporozhets, “On distribution of the number of real zeros of a random polynomial”, Zap. Nauchn. Semin. POMI, 320, 2004, 69–79 |
11. |
D. Zaporozhets, “Random polynomials and geometric probability”, Dokl. Akad. Nauk, 71:1 (2005), 53–57 |