共查询到20条相似文献,搜索用时 31 毫秒
1.
Javier Cilleruelo Florian Luca Adolfo Quirós Igor E. Shparlinski 《Monatshefte für Mathematik》2010,91(5):215-223
Let
f(X) ? \mathbb Z[X]{f(X) \in \mathbb {Z}[X]} be an irreducible polynomial of degree D ≥ 2 and let N be a sufficiently large positive integer. We estimate the number of positive integers n ≤ N such that the product
F(n) = ?k = 1n f(k)F(n) = \prod\limits_{k =1}^n f(k) 相似文献
2.
We study the geometry of a class of group extensions, containing permutational wreath products, which we call “permutational extensions”. We construct for all k∈ℕ a torsion group K k with growth function vKk(n) ~ exp(n1-(1-a)k), 23-3/a+22-2/a+21-1/a=2,v_{K_k}(n)\sim\exp(n^{1-(1-\alpha)^k}),\qquad 2^{3-3/\alpha}+2^{2-2/\alpha}+2^{1-1/\alpha}=2, 相似文献
3.
H. A. Dzyubenko 《Ukrainian Mathematical Journal》2009,61(4):519-540
In the case where a 2π-periodic function f is twice continuously differentiable on the real axis ℝ and changes its monotonicity at different fixed points y
i
∈ [− π, π), i = 1,…, 2s, s ∈ ℕ (i.e., on ℝ, there exists a set Y := {y
i
}
i∈ℤ of points y
i
= y
i+2s
+ 2π such that the function f does not decrease on [y
i
, y
i−1] if i is odd and does not increase if i is even), for any natural k and n, n ≥ N(Y, k) = const, we construct a trigonometric polynomial T
n
of order ≤n that changes its monotonicity at the same points y
i
∈ Y as f and is such that
|