共查询到20条相似文献,搜索用时 15 毫秒
1.
We construct the Grothendieck rings of a class of 2n2dimensional semisimple Hopf Algebras H2n2,which can be viewed as a generalization of the 8 dimensional Kac-Paljutkin Hopf algebra H8.All irreducible H2n2-modules are classified.Furthermore,we describe the Grothendieck rings r(H2n2)by generators and relations explicitly. 相似文献
2.
Let be a non-normal cubic extension over Q.We study the higher moment of the coefficients aK3(n)of Dedckind zeta function over sum of two squares∑n21+n22≤xa1K3(n21+n22),where 2≤l≤8 and n1,n2,l∈Z. 相似文献
3.
Fei HOU 《Frontiers of Mathematics in China》2015,10(6):1325
Let L(s, sym2f) be the symmetric-square L-function associated to a primitive holomorphic cusp form f for SL(2,? ), with tf(n,1) denoting the nth coefficient of the Dirichlet series for it. It is proved that, for N≥2 and any α ∈ ? , there exists an effective positive constant c such that ∑ n ≤ N Λ ( n ) t f ( n , 1 ) e ( n α ) ≪ N exp ⁡ ( − c log ⁡ N ) , where Λ(n) is the von Mangoldt function, and the implied constant only depends on f. We also study the analogue of Vinogradov’s three primes theorem associated to the coefficients of Rankin-Selberg L-functions. 相似文献
4.
For a square-free integer d other than 0 and 1, let K = ? ( d ) , where ? is the set of rational numbers. Then K is called a quadratic field and it has degree 2 over ? . For several quadratic fields K = ? ( d ) , the ring Rdof integers of K is not a unique-factorization domain. For d<0, there exist only a finite number of complex quadratic fields, whose ring Rd of integers, called complex quadratic ring, is a unique-factorization domain, i.e., d = −1,−2,−3,−7,−11,−19,−43,−67,−163. Let ϑ denote a prime element of Rd, and let n be an arbitrary positive integer. The unit groups of R d / 〈 v n 〉 was determined by Cross in 1983 for the case d = −1. This paper completely determined the unit groups of R d / 〈 v n 〉 for the cases d = −2,−3. 相似文献
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6.
《Mathematical Logic Quarterly》2017,63(1-2):94-103
In this paper is used to denote Jensen's modification of Quine's ‘new foundations’ set theory () fortified with a type‐level pairing function but without the axiom of choice. The axiom is the variant of the axiom of counting which asserts that no finite set is smaller than its own set of singletons. This paper shows that proves the consistency of the simple theory of types with infinity (). This result implies that proves that consistency of , and that proves the consistency of . 相似文献
7.
Let G be a simple connected graph, and let d i be the degree of its i-th vertex. The sum-connectivity index of the graph G is defined as χ ( G ) = Σ v i v j ∈ E ( G ) ? ( d i + d j ) − 1 / 2 . We discuss the effect on χ(G) of inserting an edge into a graph. Moreover, we obtain the relations between sum-connectivity index and Randić index. 相似文献
8.
Suppose that the vertex set of a graph G is . The transmission (or Di) of vertex vi is defined to be the sum of distances from vi to all other vertices. Let be the diagonal matrix with its (i, i)-entry equal to . The distance signless Laplacian spectral radius of a connected graph G is the spectral radius of the distance signless Laplacian matrix of G, defined as , where is the distance matrix of G. In this paper, we give a lower bound on the distance signless Laplacian spectral radius of graphs and characterize graphs for which these bounds are best possible. We obtain a lower bound on the second largest distance signless Laplacian eigenvalue of graphs. Moreover, we present lower bounds on the spread of distance signless Laplacian matrix of graphs and trees, and characterize extremal graphs. 相似文献
9.
Similar to the property of a linear Calderdn-Zygmund operator, a linear fractional type operator Is associated with a BMO function b fails to satisfy the continuity from the Hardy space Hp into Lp for p ≤ 1. Thus, an alternative result was given by Y. Ding, S. Lu and P. Zhang, they proved that [b,Iα] is continuous from an atomic Hardy space Hp b into Lp, where Hp b is a subspace of the Hardy space Hp for n/(n + 1) 〈 p ≤ 1. In this paper, we study the commutators of multilinear fractional type operators on product of certain Hardy spaces. The endpoint (Hp1 b1 ×... × HP2, Lp) boundedness for multilinear fractional type operators is obtained. We also give the boundedness for the commutators of multilinear Calderdn-Zygmund operators and multilinear fractional type operators on product of certain Hardy spaces when b ∈ (Lipβ)m(Rn). 相似文献
10.
We give the explicit formulas of the minimizers of the anisotropic Rudin-Osher-Fatemi models E 1 φ ( u ) = ∫ Ω φ o ( D u ) d x + λ ∫ Ω | u − f | d x , u ∈ B V ( Ω ) , E 2 φ ( u ) = ∫ Ω φ o ( D u ) d x + λ ∫ Ω ( u − f ) 2 d x , u ∈ B V ( Ω ) , where Ω ⊂ ? 2 is a domain, φ o is an anisotropic norm on ? 2 , and f is a solution of the anisotropic 1-Laplacian equations. 相似文献
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12.
《纯数学与应用数学通讯》2018,71(6):1109-1122
We prove an inequality with applications to solutions of the Schrödinger equation. There is a universal constant c > 0 such that if is simply connected, vanishes on the boundary ∂Ω, and |u| assumes a maximum in , then (1) It was conjectured by Pólya and Szegő (and proven, independently, by Makai and Hayman) that a membrane vibrating at frequency λ contains a disk of size . Our inequality implies a refined result: the point on the membrane that achieves the maximal amplitude is at distance from the boundary. We also give an extension to higher dimensions (generalizing results of Lieb and of Georgiev and Mukherjee): if u solves on with Dirichlet boundary conditions, then the ball B with radius centered at the point in which |u| assumes a maximum is almost fully contained in Ω in the sense that © 2018 Wiley Periodicals, Inc. 相似文献
13.
Dietmar Vogt 《Mathematische Nachrichten》2015,288(2-3):353-361
For an open set we study the algebra of continuous linear operators on admitting the monomials as eigenvectors. We give a concrete representation of these operators and evaluate it explicitly for the unit ball and the whole of . We also study the topology of and the algebra of eigenvalue sequences. 相似文献
14.
A subgroup H of a finite group G is said to be s-semipermutable in G if it is permutable with every Sylow p-subgroup of G with (p, |H|) = 1. We say that a subgroup H of a finite group G is S-semiembedded in G if there exists an s-permutable subgroup T of G such that TH is s-permutable in G and T ∩ H ≤ H s ¯ G , where H s ¯ G is an s-semipermutable subgroup of G contained in H. In this paper, we investigate the influence of S-semiembedded subgroups on the structure of finite groups. 相似文献
15.
This article determines the set of the circular flow numbers of regular graphs. Let be the set of the circular flow numbers of graphs, and be the set of the circular flow numbers of d‐regular graphs. If d is even, then . For it is known 6 that . We show that . Hence, the interval is the only gap for circular flow numbers of ‐regular graphs between and 5. Furthermore, if Tutte's 5‐flow conjecture is false, then it follows, that gaps for circular flow numbers of graphs in the interval [5, 6] are due for all graphs not just for regular graphs. 相似文献
16.
Y. Nikolayevsky 《Mathematische Nachrichten》2016,289(2-3):321-331
We give necessary and sufficient conditions of the existence of a left‐invariant metric of strictly negative Ricci curvature on a solvable Lie group the nilradical of whose Lie algebra is a filiform Lie algebra . It turns out that such a metric always exists, except for in the two cases, when is one of the algebras of rank two, or , and is a one‐dimensional extension of , in which cases the conditions are given in terms of certain linear inequalities for the eigenvalues of the extension derivation. 相似文献
17.
We prove some transcendence results for the sums of some multivariate serms of the form ∑j1,j2,...,jm=0 ^∞Cj1j2...jm(r1^j1r2^j2...rm^jm) for n = 1, 2, where Cj1j2...jm are some rational functions of j1 + j2 + ... + jm. 相似文献
18.
Consider the generalized dispersive equation defined by{iδtu+Ф(√-△)u=0,(x,t)∈R^n×R,u(x,0)=f(x),F∈F(R^n),(*)whereФ(√-△)is a pseudo-differential operator with symbolФ(|ζ|).In the present paper,assuming thatФsatisfies suitable growth conditions and the initial data in H^s(R^n),we bound the Hausdorff dimension of the sets on which the pointwise convergence of solutions to the dispersive equations(*)fails.These upper bounds of Hausdorff dimension shall be obtained via the Kolmogorov-Seliverstov-Plessner method. 相似文献
19.
Zachiri McKenzie 《Mathematical Logic Quarterly》2019,65(1):80-94
Let be the basic set theory that consists of the axioms of extensionality, emptyset, pair, union, powerset, infinity, transitive containment, Δ0‐separation and set foundation. This paper studies the relative strength of set theories obtained by adding fragments of the set‐theoretic collection scheme to . We focus on two common parameterisations of the collection: ‐collection, which is the usual collection scheme restricted to ‐formulae, and strong ‐collection, which is equivalent to ‐collection plus ‐separation. The main result of this paper shows that for all ,
- proves that there exists a transitive model of Zermelo Set Theory plus ‐collection,
- the theory is ‐conservative over the theory .
20.
Fourier transform of anisotropic mixed-norm Hardy spaces 总被引:1,自引:0,他引:1
Let a:=(a1,…,an)∈[1,∞)n,p:=(p1,…,pn)∈(0,1]n,Hpa(Rn)be the anisotropic mixed-norm Hardy space associated with adefined via the radial maximal function,and let f belong to the Hardy space Hpa(Rn).In this article,we show that the Fourier transform fcoincides with a continuous function g on?n in the sense of tempered distributions and,moreover,this continuous function g,multiplied by a step function associated with a,can be pointwisely controlled by a constant multiple of the Hardy space norm of f.These proofs are achieved via the known atomic characterization of Hpa(Rn)and the establishment of two uniform estimates on anisotropic mixed-norm atoms.As applications,we also conclude a higher order convergence of the continuous function gat the origin.Finally,a variant of the Hardy-Littlewood inequality in the anisotropic mixed-norm Hardy space setting is also obtained.All these results are a natural generalization of the well-known corresponding conclusions of the classical Hardy spaces Hp(Rn)with p∈0,1],and are even new for isotropic mixed-norm Hardy spaces on∈n. 相似文献