Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Detta Dickinson"'
Publikováno v:
Doklady of the National Academy of Sciences of Belarus. 64:7-12
Let z = f ( x , y ) be a surface in three-dimensional Euclidean space. Consider a neighborhood V of this surface, whose points satisfy the inequality | f ( x , y ) - z| < Q -Y , where 0 < у < 1 and Q is a sufficiently large positive integer. In the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::602359c851625855d03418e152150473
https://doi.org/10.29235/1561-8323-2020-64-1-7-12
https://doi.org/10.29235/1561-8323-2020-64-1-7-12
Autor:
Natalia Budarina, Detta Dickinson
Publikováno v:
Acta Arithmetica. 160:243-257
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af6dc979d572ba81e227ba6eb1cce353
https://doi.org/10.4064/aa160-3-2
https://doi.org/10.4064/aa160-3-2
Autor:
Mumtaz Hussain, Detta Dickinson
Publikováno v:
International Journal of Number Theory. :77-90
In this paper the metric theory of Diophantine approximation of linear forms that are of mixed type is investigated. Khintchine–Groshev theorems are established together with the Hausdorff measure generalizations. The latter includes the original d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80177fa161294696617a5bce4db1a593
https://doi.org/10.1142/s1793042112501278
https://doi.org/10.1142/s1793042112501278
Autor:
Natalia Budarina, Detta Dickinson
Publikováno v:
Indagationes Mathematicae. 23:32-41
A lower bound for the number of integer polynomials which simultaneously have “close” complex roots and “close” p-adic roots is obtained.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fb2ceb20359656b2ebb66a71c4edb171
https://doi.org/10.1016/j.indag.2011.09.012
https://doi.org/10.1016/j.indag.2011.09.012
Publikováno v:
Acta Mathematica Sinica, English Series. 28:469-476
In this article it is proved that there exist a large number of polynomials which have small discriminant in terms of the Euclidean and p-adic metrics simultaneously. The measure of the set of points which satisfy certain polynomial a nd derivative c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d129544320af58cc43c2f1e497597d9
https://doi.org/10.1007/s10114-011-0518-5
https://doi.org/10.1007/s10114-011-0518-5
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 149:193-216
In this paper it is shown that if the volume sum ∑r = 1∞ Ψ(r) converges for a monotonic function Ψ then the set of points (x, z, w) ∈ ℝ × ℂ × ℚp which simultaneously satisfy the inequalities |P(x)| ≤ H−v1 Ψλ1(H), |P(z)| ≤ H−
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::02aac4b6cf6c649c4fd4187464f0201c
https://doi.org/10.1017/s0305004110000162
https://doi.org/10.1017/s0305004110000162
Publikováno v:
Mathematika. 56:77-85
The Hausdorff dimension and measure of the set of simultaneously ψ-approximable points lying on integer polynomial curves is obtained for sufficiently small error functions. §
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a767c3150ab7eb60e710852962fc81b2
https://doi.org/10.1112/s0025579309000382
https://doi.org/10.1112/s0025579309000382
Publikováno v:
Lithuanian Mathematical Journal. 48:158-173
In this paper, we show that if the sum ∑ r=1 ∞ Ψ(r) diverges, then the set of points (x, z, w) ∈ ℝ × ℂ × ℚp satisfying the inequalities \( \left| {P(x)} \right| < H^{ - v_1 } \Psi ^{\lambda _1 } (H),\left| {P(z)} \right| < H^{ - v_2 }
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f1f0ee3a7a757a602f3e2bbd290f4f58
https://doi.org/10.1007/s10986-008-9005-9
https://doi.org/10.1007/s10986-008-9005-9
Publikováno v:
Annals of Mathematics. 166:367-426
Let C be a nondegenerate planar curve and for a real, positive decreasing function ψ let C(ψ) denote the set of simultaneously ψ-approximable points lying on C. We show that C is of Khintchine type for divergence; i.e. if a certain sum diverges th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::82c400c3d8971ff0981485c9d9beb4b3
https://doi.org/10.4007/annals.2007.166.367
https://doi.org/10.4007/annals.2007.166.367
Given a compact metric space $(\Omega,d)$ equipped with a non-atomic, probability measure $m$ and a positive decreasing function $\psi$, we consider a natural class of lim sup subsets $\Lambda(\psi)$ of $\Omega$. The classical lim sup set $W(\psi)$ o
