共查询到20条相似文献,搜索用时 15 毫秒
1.
In this article, the notion of a uniformly distributed systems of elements on the variety of metabelian Lie algebras is introduced. This notion is analogous to one of a measure preserving systems of elements on group varieties. As the main result of the article, it was shown that on the variety of metabelian Lie algebras a system of elements is primitive iff it is uniformly distributed. 相似文献
2.
For a tree T with n vertices, we apply an algorithm due to Jacobs and Trevisan (2011) to study how the number of small Laplacian eigenvalues behaves when the tree is transformed by a transformation defined by Mohar (2007). This allows us to obtain a new bound for the number of eigenvalues that are smaller than 2. We also report our progress towards a conjecture on the number of eigenvalues that are smaller than the average degree. 相似文献
3.
4.
Pierre Dusart. 《Mathematics of Computation》1999,68(225):411-415
ROSSER and SCHOENFELD have used the fact that the first 3,500,000 zeros of the RIEMANN zeta function lie on the critical line to give estimates on and . With an improvement of the above result by BRENTet al., we are able to improve these estimates and to show that the prime is greater than for . We give further results without proof.
5.
Alan Haynes 《Journal of Number Theory》2004,107(1):95-104
We will examine the subset of Farey fractions of order Q consisting of those fractions whose denominators are not divisible by a fixed prime p. In particular, we will provide an asymptotic result on the distribution of H-tuples of consecutive fractions in , as Q→∞. 相似文献
6.
Andreas Weingartner 《Journal of Number Theory》2004,108(1):18-28
Let 1=d1(n)<d2(n)<?<dτ(n)=n be the sequence of all positive divisors of the integer n in increasing order. We say that the divisors of n are t-dense iff max1?i<τ(n)di+1(n)/di(n)?t. Let D(x,t) be the number of positive integers not exceeding x whose divisors are t-dense. We show that for x?3, and , we have , where , and d(w) is a continuous function which satisfies d(w)?1/w for w?1. We also consider other counting functions closely related to D(x,t). 相似文献
7.
J. Wu 《Proceedings of the American Mathematical Society》1998,126(1):1-8
In this note, we prove that for every and , the short interval contains at least one prime number of the form with . This improves a similar result due to Huxley and Iwaniec, which requires .
8.
Chen Jiahua 《东北数学》1995,(3)
RestrictedMaximumLikelihoodEstimatesinFiniteMixtureModels¥(陈家骅,成平)ChenJiahua(DepartmentofStatistics&ActuarialScience,Universi... 相似文献
9.
A. V. Kononov 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1996,47(4):631-635
Summary Two questions which are concerned with investigation [1] of corrugation instability of shock waves have been considered in the present paper. In the first place, the selection condition [1] for acoustic perturbations generated by the shock front has been analysed. Its equivalence to the conditions usually applied in the wave theory for determination of linear waves direction has been proved. Secondly, the causes of divergence of previous results for region (1) of values of parameterh which was introduced by D'yakov [2] have been analysed. 相似文献
10.
Matti Jutila 《The Ramanujan Journal》2007,14(2):321-327
A simplified proof for a well-distribution property for rational numbers is given and a connection with Riemann’s Hypothesis
is pointed out. More precisely, we consider rational numbers with denominators of a given order of magnitude and show that
the number of such numbers lying in a short interval of given length is normally close to its expectation in a mean square
sense. The proof is elementary, using only Fourier series and Ramanujan sums. At the end of the paper, a variant of the circle
method is discussed as an application.
相似文献
11.
Steven G. Krantz 《Journal of Mathematical Analysis and Applications》2007,326(2):1437-1444
We study the spaces BMOp of functions of bounded mean oscillation modeled on a p-adic martingale, and determine their relationship with the ordinary, continuous space BMO of functions of bounded mean oscillation. Somewhat surprisingly, these results are related to information about the distribution of primes. 相似文献
12.
On construit une forme de Dirichlet sur un espace de Poisson. Cette construction permet drobtenir une condition assez simple sur une variable aléatoire utilisée pour un grossissement initial de filtration. On fait le lien avec une formule drintégration par parties et lropérateur de Malliavin sur un espace de Poisson.A Dirichlet form is built on a Poisson space. Thus a sufficient condition is done so that a random variable L allows an initial enlargement of filtration:
t} \mathcal{F}_S v\sigma \left( L \right)$$
" align="middle" border="0">
where
is the natural filtration of the Poisson process. Moreover, the link is done between this Dirichlet space and a stochastic variations calculus on the Poisson space. 相似文献
13.
考虑具有正负系数的连续变量的差分方程 x(t)-x(t-γ)+P(t)x(t-τ)-Q(t)x(t-σ)=0,其中P,Q∈C([t_0,∞),R~+),τ,σ,γ∈(0,∞)。本文给出了上述方程解的零点分布及方程所有解振动的充分条件并改进和推广了已有的结果。 相似文献
14.
Nous discutons de certains aspects de l'approximation diophantienne et de la transcendance inspirés par deux problèmes encore ouverts: trouver une version effective du théorème de finitude de Siegel pour les points entiers sur les courbes et trouver une approche intrinsèque aux résultats de transcendance des valeurs spéciales des fonctions modulaires sans utiliser les variétés abéliennes (problème posé par Th. Schneider). 相似文献
15.
Gérard Ben Arous Marc Brunaud 《Stochastics An International Journal of Probability and Stochastic Processes》2013,85(1-4):79-144
This article concerns the asymptotic behaviour of diffusions consisting of various systems of mean-field type interacting particles. We specifically study the following properties: propagation of chaos; critical and non critical fluctuations, using the Laplace method which has been developed by Bolthausen in the general Banach valued random variables context; and finally the large deviations of laws of trajectorial empirical measures. We also study Gibbs variational formula associated with this problem and show that it reduces to a finite dimensional problem 相似文献
16.
Corresponding to n independent non-negative random variables X
1,...,X
n
, are values M
1,...,M
n
, where each M
i
is the expected value of the maximum of n independent copies of X
i
. We obtain an upper bound for the expected value of the maximum of X
1,...,X
n
in terms of M
1,...,M
n
. This inequality is sharp in the sense that the random variables can be chosen so that the bound is approached arbitrarily
closely. We also present related comparison results.
相似文献
17.
18.
Carlo Ravaglia 《Annali dell'Universita di Ferrara》2004,50(1):123-149
We tie the notion of rearrangement with that of image of a measure; for not necessary bounded measures, we give necessary
and sufficient conditions for the existence of increasing and decreasing rearrangements, of spherical rearrangements and of
rearrangements according to a real functionf.
Sunto Si lega la nozione di riordinamento con quella di immagine di una misura; per misure non necessariamente limitate, si danno condizioni necessarie e sufficienti per l’esistenza di riordinamenti crescenti e decrescenti, di riordinamenti sferici e di riordinamenti secondo una funzione realef.相似文献
19.
H.M. Bui 《Journal of Number Theory》2011,131(1):67-95
Combining the amplifiers, we exhibit other choices of coefficients that improve the results on large gaps between the zeros of the Riemann zeta-function. Precisely, assuming the Generalized Riemann Hypothesis (GRH), we show that there exist infinitely many consecutive gaps greater than 3.033 times the average spacing. 相似文献
20.
离散时间风险模型的递推公式 总被引:3,自引:0,他引:3
在本文中,我们研究了含有投资和通货膨胀因素的离散时间风险模型,通过递推的方法,得到了有限时间内的破产概率、破产时间的分布、破产持续时间的分布的递推公式. 相似文献