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71.
Kosuke Homma 《Journal of Number Theory》2008,128(3):500-508
In this paper we consider the distribution of fractional parts {ν/p}, where p is a prime less than or equal to x and ν is the root in Z/pZ of a quadratic polynomial with negative discriminant. This set is known to be uniformly distributed as x→∞. Here we apply the Erd?s-Turán inequality to obtain an estimate for the discrepancy. 相似文献
72.
本文研究两两NQD系加权和的完全收敛性,证明了一般双下标加权系数的加权部分和的完全收敛性,改进了吴群英(2002)的结果。 相似文献
73.
Rita Giuliano Antonini Yuriy Kozachenko Andrei Volodin 《Journal of Mathematical Analysis and Applications》2008,338(2):1188-1203
The almost sure convergence of weighted sums of φ-subgaussian m-acceptable random variables is investigated. As corollaries, the main results are applied to the case of negatively dependent and m-dependent subgaussian random variables. Finally, an application to random Fourier series is presented. 相似文献
74.
本文主要利用解析方法以及二项指数和与Dirichlet特征的性质,研究多项式的特征和与二项三次指数和的混合均值的计算问题,并得到一个较强的渐近公式. 相似文献
75.
Stefano Galatolo 《Journal of statistical physics》2006,123(1):111-124
In this note we prove that for equilibrium states of axiom A systems having positive dimension the time τ
B
(x) needed for a typical point x to enter for the first time in a typical ball B with radius r behaves for small r as τ
B
(x)∼ r
−d
where d is the local dimension of the invariant measure at the center of the ball. A similar relation is proved for a full measure set of interval exchanges. Some applications to Birkoff averages of unbounded (and not L
1) functions are shown. 相似文献
76.
We study the approximation of the inverse wavelet transform using Riemannian sums.We show that when the Fourier transforms of wavelet functions satisfy some moderate decay condition,the Riemannian sums converge to the function to be reconstructed as the sampling density tends to infinity.We also study the convergence of the operators introduced by the Riemannian sums.Our result improves some known ones. 相似文献
77.
Arzhang AngoshtariArash Yavari 《Physics letters. A》2011,375(10):1281-1285
A rigorous proof for convergence of the Wolf method (Wolf et al., 1999 [9]) for calculating electrostatic energy of a periodic lattice is presented. In particular, we show that for an arbitrary lattice of unit cells, the lattice sum obtained via Wolf method converges to the one obtained via Ewald method. 相似文献
78.
Several authors have studied the uniform estimate for the tail probabilities of randomly weighted sumsa.ud their maxima. In this paper, we generalize their work to the situation thatis a sequence of upper tail asymptotically independent random variables with common distribution from the is a sequence of nonnegative random variables, independent of and satisfying some regular conditions. Moreover. no additional assumption is required on the dependence structureof {θi,i≥ 1). 相似文献
79.
Let {X,X_k:k≥1} be a sequence of extended negatively dependent random variables with a common distribution F satisfying EX 0.Let r be a nonnegative integer-valued random variable,independent of {X,X_k:k≥1}.In this paper,the authors obtain the necessary and sufficient conditions for the random sums S_r =(?)X_n to have a consistently varying tail when the random number t has a heavier tail than the summands,i.e.,(P(Xx))/(P(r x))→0as x→∞ 相似文献
80.