共查询到20条相似文献，搜索用时 46 毫秒
1.
Let {R
n
}
n≥0 be a binary linear recurrence defined by R
n+2 = A
R
n+1 + B
R
n
(n ≥ 0), where A, B, R
0, R
1 are integers and Δ = A
2 + 4B > 0. We give necessary and sufficient conditions for the transcendence of the numbers
where r ≥ 2 is an integer, {a
k
}
k ≥ 0 is a linear recurrence of algebraic numbers, and b is an algebraic number. We remove the condition assumed in the preceding work that A ≠ 0 and Δ is not a perfect square.
相似文献
2.
3.
Mathieu Florence 《Archiv der Mathematik》2011,97(3):247-249
Let k be a field and A be a separable k-algebra. Let r ≥ 3 be an integer. Generalizing a result of Reichstein (Arch. Math. 88 (2007), 12–18), we prove that the essential dimension over k of A equals that of the r-fold trace form
|
Fr: (a1,?,ar)? tr(a1?ar)F_r: (a_1,\ldots,a_r)\mapsto \mbox{tr}(a_1\ldots a_r) 相似文献
4.
On the universal A.S. central limit theorem 总被引：1，自引：0，他引：1
S. Hörmann 《Acta Mathematica Hungarica》2007,116(4):377-398
Let (X
k
) be a sequence of independent r.v.’s such that for some measurable functions gk : R
k
→ R a weak limit theorem of the form
5.
Let β
0=0.308443… denote the Littlewood-Salem-Izumi number, i.e., the unique solution of the equation
6.
We present results on total domination in a partitioned graph G = (V, E). Let γ
t
(G) denote the total dominating number of G. For a partition , k ≥ 2, of V, let γ
t
(G; V
i
) be the cardinality of a smallest subset of V such that every vertex of V
i
has a neighbour in it and define the following
7.
Hsin-Ju Wang 《Mathematische Zeitschrift》2007,256(4):749-756
In this paper, we prove the following. Let be a Cohen-Macaulay local ring of dimension d ≥ 2. Suppose that either R is not regular or if R is regular assume that d ≥ 3. Let t ≥ 2 be a positive integer. If is a regular sequence contained in , then
8.
Let G be a graph with n vertices, m edges and a vertex degree sequence (d
1, d
2,..., d
n
), where d
1 ≥ d
2 ≥ ... ≥ d
n
. The spectral radius and the largest Laplacian eigenvalue are denoted by ϱ(G) and μ(G), respectively. We determine the graphs with
9.
J. S. Hwang 《数学学报(英文版)》1998,14(1):57-66
Letf(X) be an additive form defined by
10.
For positive integers with a
r
= 2, the multiple zeta value or r-fold Euler sum is defined as [2]
11.
We determine exact values for the k-error linear complexity L
k
over the finite field
of the Legendre sequence
of period p and the Sidelnikov sequence
of period p
m
− 1. The results are
12.
An exact expression for the extreme values of the integer vector
that maximize the function
13.
Zinovy Reichstein 《Archiv der Mathematik》2007,88(1):12-18
We show that the essential dimension of a finite-dimensional central simple algebra coincides with the essential dimension
of its r-linear trace form,
for any r ≥ 3.
Received: 15 March 2006 相似文献
14.
15.
For a trigonometric series
16.
We consider some classes of 2π-periodic functions defined by a class of operators having certain oscillation properties, which include the classical Sobolev class and a class of analytic functions which can not be represented as a convolution class as its special cases. Let be the largest integer not bigger than x. We prove that on these classes of functions the rectangular formula
17.
Annalisa Malusa Luigi Orsina 《Calculus of Variations and Partial Differential Equations》2006,27(2):179-202
We study the limit as n goes to +∞ of the renormalized solutions u
n
to the nonlinear elliptic problems
18.
De Li LI Andrew ROSALSKY Andrei VOLODIN 《数学学报(英文版)》2007,23(4):599-612
For a sequence of i.i.d. Banach space-valued random variables {Xn; n ≥ 1} and a sequence of positive constants {an; n ≥ 1}, the relationship between the Baum-Katz-Spitzer complete convergence theorem and the law of the iterated logarithm is investigated. Sets of conditions are provided under which
（i） lim sup n→∞ ｜｜Sn｜｜/an〈∞ a.s.and
∞ ∑n=1（1/n）P（｜｜Sn｜｜/an ≥ε〈∞for all ε 〉 λ for some constant λ ∈ [0, ∞） are equivalent;
（ii） For all constants λ ∈ [0, ∞）,
lim sup ｜｜Sn｜｜/an =λ a.s.and ^∞∑ n=1（1/n） P（｜｜Sn｜｜/an ≥ε）{〈∞, if ε〉λ =∞,if ε〈λare equivalent. In general, no geometric conditions are imposed on the underlying Banach space. Corollaries are presented and new results are obtained even in the case of real-valued random variables. 相似文献
19.
Essentially sharp bounds for small prime solutionsp
j
,q
i
of the following two different types of equations are obtained.
|
| 设为首页 | 免责声明 | 关于勤云 | 加入收藏 |
|
Copyright©北京勤云科技发展有限公司 京ICP备09084417号 |