共查询到20条相似文献,搜索用时 62 毫秒
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有限域 Fq(q为奇)上的 Kloosterman和是两个模为 q1/2的共轭复数之和.这个复数的角度就称为相应的Kloosterman和的角度.我们在本文给出了Kloosterman和的角度的一些结果,改进了Katz N.[1]的一些结果,也改进和推广了Conrey J.和Iwanie H.[2]的结果. 相似文献
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本文研究了积分算子TK:Lq[0,1]→Lq[0,1],(q≥1)当核 K(s, t)是 Sobolev空间 Wpr([0, 1]2)中元素时n-逼近数 an(TK: Lq→ Lq)的估计,并把这个估计应用于退化核方法解第二类线性Fredholm方程(I一TK)x=y时,Badhvalov[5]意义下最佳误差的讨论中,所得到的最佳误差之估计当q=1时,最优化了[10]的结论. 相似文献
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有限域上具有交换图表性质的多项式 总被引:1,自引:0,他引:1
本文给出了有限域Fq上满足条件f(g(x))≡h(f(x))的多项式f(x)的通解表示公式及在degf<q条件下的f(x)的个数计算公式,此地g(x)和h(x)是Fq上给定的两个多项式,其中之一是置换多项式.这一结果推广了文献[3]的主要结果,而在g(x)和h(x)均为线性多项式的特殊情况,则分别推广了文献[1]和[2]中的主要结果. 相似文献
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如果用Nq(g)表示Fq上亏格为g的所有光滑不可约代数曲线的Fq-有理点个数最大值,则确定Nq(g)的值是一个困难问题.Serre确定了当q=2,1≤g≤10及q=3,1≤g≤3时的全部Nq(g),本文确定了q=3,4≤g≤6的Nq(g)值. 相似文献
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王建伟 《数学年刊A辑(中文版)》1999,(6)
本文表明在函数域K上椭圆曲线上的超奇素除子集合S*(E)具有与数域情形不同的特性,特别对K是有理函数城Fq(T)时,在多数情形下(即j(E)Fq时),S*(E)是有限集合.并且Fq(T)上存在椭圆曲线E(j(E)Fq),使得S*(E)包含Fq(T)的任意素除子有限集合S.对于Fq(T)的特征为2,3,5的情形,还可以构作E,使得S*(E)=S. 相似文献
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海文华 《数学年刊A辑(中文版)》1995,(1)
设与Fi对应的解为共轭的正则动量为πi.场的正则变换g:(πi)→(q,p)给出方程的一类解[q(x)]及诸间的关系,其中某些特解即为Gibbonj和楼森岳等人几篇文章的主要结果.特别讨论了sG方程的一类解之间的递推关系,由此得到N个不同的孤子解,并分别给出3维和4维情形相应的N孤子特解. 相似文献
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关于FIBONACCI数列的注记 总被引:4,自引:1,他引:3
关于FIBONACCI数列的注记*陈木法(北京师范大学数学系100875)新近的文[1]和[2]研究了Fibonacci数列(简称为F数列)的一些性质,笔者发现这些结果大多容易从文[3]的两条基本性质导出.因而略作说明所谓F数列,乃是F0=0,F1=... 相似文献
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关于有界对称域上的混合范数空间 总被引:1,自引:0,他引:1
本文研究了Cn中有界对称域Ω上的混合范数空间H(p,q, )其中0< p< ,0<q< , 是正规函数,给出了Ω上全纯函数f的分数导数f[β]和 分数积分f[β]属于(p,q,)的等价条件。应用这些结果,就两种情形0<p≤2, 0<q< 和2≤p<,0<q< ,用全纯函数f的展式中的系数,分别给出了 f H(p,q,)的必要条件和充分条件,并证明了多调和函数u组成的混合范数空 间h(p,q,)(0<p,q< )是自共轭的. 相似文献
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把文[1]中结果推广到Reinhardt域D=D(K1K2…Kp)C(1≤p<n).即证明了从域D的任一不变Khler度量都可以导出相同的Aut(D) 相似文献
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1引言众所周知,关于广义Lienard系统的同宿轨与闭轨族的研究非常少.受[1,2]的启发,本文考虑(1)不具有条件F(-x)=F(x),g(-x)=-g(x)时这方面解的一些定性性质,得到了同宿轨族、闭轨族、双曲扇形和椭圆扇形的存在性与不存在性的充分或充要条件.这些条件不同于[1-3].为方便,本文假定F(x),g(x)连续,xg(x)>0(x≠0);h(0)=F(0)=0,h(y)局部Lipschitz连续且严格递增.于是由[4]知(1)的初值解唯一.记,分别为函数G(x)sgnx;h(x)… 相似文献
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ZHENG ShiJun 《分析论及其应用》2004,20(3)
Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V. 相似文献
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We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals. 相似文献
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It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary. 相似文献
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《高校应用数学学报(英文版)》2014,29(4)
正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with 相似文献
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《数学研究及应用》2014,(6)
正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics. 相似文献
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A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6]. 相似文献
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Emmanuel Blanc 《Commentarii Mathematici Helvetici》2003,78(4):845-864
Résumé On décrit toutes les feuilles des laminations minimales dont
un ensemble résiduel de feuilles ont 2 bouts.
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