共查询到20条相似文献,搜索用时 15 毫秒
1.
For any integer n ≥ 2, let P(n) be the largest prime factor of n. In this paper, we prove that the number of primes p ≤ x with P(p-1) ≥ p~c is more than(1-c + o(1))π(x) for 0 c 1/2. This extends a recent result of Luca, Menares and Madariaga for1/4≤ c ≤1/2. We also pose two conjectures for further research. 相似文献
2.
该文引入了 cut*空间的概念,所谓的 cut*空间是指去掉任意一点连通,去掉任意两点不连通的连通空间.通过对其性质的讨论,得到如下主要结论: 首先得到cut*空间中每个点非开即闭,并且cut*空间中有无限多个闭点;其次讨论了一类特殊的 cut*空间,即去掉一点是COTS的 cut* 空间.指出``$X$是 cut*空间,任意 $x\inX,X\setminus\{x\}$是不可约cut空间'这样的空间类是不存在的.在文章的最后,讨论了去掉一点是LOTS的 cut*空间的覆盖性质,得到这样的空间是紧空间或Lindel\"of空间的结论. 相似文献
3.
4.
龚亚方 《数学物理学报(A辑)》2008,28(4):711-718
该文首先考虑了Rn+1维欧氏空间中(n+1)重周期正则函数和(n+1)重准周期正则函数的一些性质, 然后分别讨论了n+1重周期和准周期Riemann边值问题, 分别给出了两种边值问题 解的显式表达式和可解条件. 相似文献
5.
Laurenťiu Leuštean 《Central European Journal of Mathematics》2003,1(3):382-397
In this paper we study the prime and maximal spectra of a BL-algebra, proving that the prime spectrum is a compact T
0 topological space and that the maximal spectrum is a compact Hausdorff topological space. We also define and study the reticulation
of a BL-algebra. 相似文献
6.
Glyn Harman 《Archiv der Mathematik》2008,90(3):239-245
Let P
+(m) denote the greatest prime factor of the positive integer m. Improving and simplifying work of Dartyge [3] we show that
for . Here improves on the previous exponent .
Received: 20 April 2007 相似文献
7.
Marc Hellmuth 《Discrete Mathematics》2011,(12):74
This work is concerned with the prime factor decomposition (PFD) of strong product graphs. A new quasi-linear time algorithm for the PFD with respect to the strong product for arbitrary, finite, connected, undirected graphs is derived.Moreover, since most graphs are prime although they can have a product-like structure, also known as approximate graph products, the practical application of the well-known “classical” prime factorization algorithm is strictly limited. This new PFD algorithm is based on a local approach that covers a graph by small factorizable subgraphs and then utilizes this information to derive the global factors. Therefore, we can take advantage of this approach and derive in addition a method for the recognition of approximate graph products. 相似文献
8.
Igor E. Shparlinski 《Periodica Mathematica Hungarica》2008,57(1):93-99
We obtain a new lower bound on the number of prime divisors of integers whose g-ary expansion contains a fixed number of nonzero digits.
相似文献
9.
杜晓英 《数学的实践与认识》2016,(1):263-266
设p是奇素数.对于非负整数r,设U_(2r+1)=(α~(2r+1)+β~(2r+1))/2~(1/2),V_(2r+1)=(α~(2r+1)-β~(2r+1))/6~(1/2),其中α=(1+3~(1/2))/2~(1/2),β=(1-3~(1/2))/2~(1/2).运用初等数论方法证明了:方程y~3=x~2+2p~4有适合gcd(x,y)=1的正整数解(x,y)的充要条件是p=U_(2m+1),其中m是正整数.当上述条件成立时,方程仅有正整数解(x,y)=(V(2m+1)(V_(2m+1)~2-6),V_(2m+1)~2+2)适合gcd(x,y)=1.由此可知:当p10000时,方程仅有正整数解(p,x,y)=(5,9,11),(19,1265,123),(71,68675,1683)和(3691,9677201305,4541163)适合gcd(x,y)=1. 相似文献
10.
11.
12.
基础R0-代数的性质及在L*系统中的应用 总被引:5,自引:1,他引:4
研究了王国俊教授建立的模糊命题演算的形式演绎系统L*和与之在语义上相关的R0-代数,提出了基础R0-代数的观点并讨论了其中的一些性质,在将L*系统中的推演证明转化为相应的R0-代数中的代数运算方面作了一些尝试,作为它的一个应用,证明了L*系统中的模糊演绎定理。 相似文献
13.
We use a Heegaard splitting of the topological 3-sphere as a guiding principle to construct a family of its noncommutative
deformations. The main technical point is an identification of the universal C*-algebras defining our quantum 3-spheres with an appropriate fiber product of crossed-product C*-algebras. Then we employ this result to show that the K-groups of our family of noncommutative 3-spheres coincide with their classical counterparts.
Dedicated to the memory of Olaf Richter
An erratum to this article is available at . 相似文献
14.
设H1和H2是两个Hilbert空间, B(H1,H2)表示从H1到H2的所有有界线性算子的集合, T和S分别是H1和H2的两个闭子空间. 如果存在线性算子X ∈ B(H2,H1)满足XAX=X, R(X)=T, N(X)=S,则称X为线性算子$A$的具有指定像空间T和零空间S的外逆,记为A(2)T,S. 该文进一步研究了线性算子广义逆A(2)T,S存在的若干等价条件及其性质,建立了算子广义逆A(2)T,S的表示形式. 相似文献
15.
ChaoHua Jia 《中国科学 数学(英文版)》2012,55(3):465-474
If n is a positive integer,let f (n) denote the number of positive integer solutions (n 1,n 2,n 3) of the Diophantine equation 4/n=1/n1 + 1/n2 + 1/n3.For the prime number p,f (p) can be split into f 1 (p) + f 2 (p),where f i (p) (i=1,2) counts those solutions with exactly i of denominators n 1,n 2,n 3 divisible by p.In this paper,we shall study the estimate for mean values ∑ p相似文献
16.
具有三次曲线解xy2+y=x3的中心对称三次系统极限环的存在性 总被引:1,自引:0,他引:1
本文证明了具有三次曲线解xy2+y=x3的中心对称三次系统的极限环存在,而且至少可以存在四个极限环,它们作(2,2)分布.从而纠正了文[1]的结论 相似文献
17.
M. R. DARAFSHEH 《数学学报(英文版)》2008,24(7):1117-1126
The author will prove that the group ^2Dp(3) can be uniquely determined by its order components, where p ≠ 2^m + 1 is a prime number, p ≥ 5. More precisely, if OC(G) denotes the set of order components of G, we will prove OC(G) = OC(^2Dp(3)) if and only if G is isomorphic to ^2Dp(3). A main consequence of our result is the validity of Thompson's conjecture for the groups under consideration. 相似文献
18.
LunChuanZHANG 《数学学报(英文版)》2003,19(2):413-416
The relation between the inseparable prime C^*-algebras and primitive C^*-algebras is studied,and we prove that prime AW^*-algebras are all primitive C^*-algebras. 相似文献
19.
S. A. Zakharov 《Mathematical Notes》1991,49(5):548-549
Translated from Matematicheskie Zametki, Vol. 49, No. 5, pp. 151–152, May, 1991. 相似文献
20.
M. D. Coleman 《Monatshefte für Mathematik》1998,125(2):111-126
For a Gaussian prime (i) define ()=min|–| where runs through Gaussian primes satisfying ||>||. We prove that, subject to the Riemann Hypothesis for appropriateL-functions
which generalises a result due to Selberg (Archiv for Mathematik og Naturvidenskab47 (1943) 87–105). 相似文献