共查询到20条相似文献,搜索用时 0 毫秒
1.
2.
Zhi-Wei Sun 《Journal of Number Theory》2012,132(11):2673-2699
3.
Pietro De Poi 《manuscripta mathematica》2001,106(1):101-116
We discuss projective families of lines of ℙ
n
, and in particular congruences of order one. After giving general results, we obtain a complete classification of the case
of ℙ4 in which there is a fundamental curve.
Received: 2 August 2000 / Revised version: 11 July 2001 相似文献
4.
Algebra matrix and similarity classification of operators 总被引:1,自引:0,他引:1
ZHANG Zilong & LI Yucheng Department of Mathematics Hebei Normal University Shijiazhuang China 《中国科学A辑(英文版)》2006,49(3):398-409
In this paper, by the Gelfand representation theory and the Silov idempotents theorem, we first obtain a central decomposition theorem related to a unital semi-simple n-homogeneous Banach algebra, and then give a similarity classification of two strongly irreducible Cowen-Douglas operators using this theorem. 相似文献
5.
V. A. Koshelev 《Mathematical Notes》2010,87(3-4):537-542
The following problem of combinatorial geometry is considered. Given positive integers n and q, find or estimate a minimal number h for which any set of h points in general position in the plane contains n vertices of a convex polygon for which the number of interior points is divisible by q. For a wide range of parameters, the existing bound for h is dramatically improved. 相似文献
6.
M. Eie Y. L. Ong 《Abhandlungen aus dem Mathematischen Seminar der Universit?t Hamburg》1997,67(1):149-157
Suppose thatm, n are positive even integers andp is a prime number such thatp-1 is not a divisor ofm. For any non-negative integerN, the classical Kummer’s congruences on Bernoulli numbersB
n(n = 1,2,3,...) assert that (1-p
m-1)B
m/m isp-integral and
ifm ≡ n (mod (p-1)p
n). In this paper, we shall prove that for any positive integerk relatively prime top and non-negative integers α, β such that α +jk =pβ for some integerj with 0 ≤j ≤p-l.Then for any non-negative integerN,
ifp-1 is not a divisor ofm andm ≡ n (mod (p-1)p
n). HereB
n(x) (n = 0,1,2,...) are Bernoulli polynomials. This of course contains the Kummer’s congruences. Furthermore, it contains new congruences
for Bernoulli polynomials of odd indices. 相似文献
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7.
Thomas Koberda 《Geometriae Dedicata》2012,156(1):13-30
We study the action of the mapping class group on the integral homology of finite covers of a topological surface. We use
the homological representation of the mapping class to construct a faithful infinite-dimensional representation of the mapping
class group. We show that this representation detects the Nielsen–Thurston classification of each mapping class. We then discuss
some examples that occur in the theory of braid groups and develop an analogous theory for automorphisms of free groups. We
close with some open problems. 相似文献
8.
9.
A classification of some regular p-groups and its applications 总被引:1,自引:0,他引:1
ZHANG Qinhai SONG Qiangwei & XU Mingyao Department of Mathematics Shanxi Teachers University Linfen China 《中国科学A辑(英文版)》2006,49(3)
In this paper we classify regular p-groups with type invariants (e, 1,1,1) for e≥2 and (1,1,1,1,1). As a by-product, we give a new approach to the classification of groups of order p5, p ≥ 5 a prime. 相似文献
10.
Dario Spirito 《代数通讯》2018,46(4):1831-1842
We study stable semistar operations defined over a Prüfer domain, showing that, if every ideal of a Prüfer domain R has only finitely many minimal primes, every such closure can be described through semistar operations defined on valuation overrings of R. 相似文献
11.
Elias Gabriel Minian 《Applied Categorical Structures》2002,10(1):1-21
We investigate the homotopy category of a -cofibration category and compare the homotopy categories of Global Actions, Simplicial Complexes and Topological Spaces. 相似文献
12.
The Ramanujan Journal - In this paper, we study the vanishing properties of Fourier coefficients of rth powers of the Dedekind eta function. We give a certain type of classification of this... 相似文献
13.
In 1994, James Sellers conjectured an infinite family of Ramanujan type congruences for 2-colored Frobenius partitions introduced by George E. Andrews. These congruences arise modulo powers of 5. In 2002 Dennis Eichhorn and Sellers were able to settle the conjecture for powers up to 4. In this article, we prove Sellers’ conjecture for all powers of 5. In addition, we discuss why the Andrews–Sellers family is significantly different from classical congruences modulo powers of primes. 相似文献
14.
P. Gaillard 《Theoretical and Mathematical Physics》2016,189(1):1440-1449
Based on a representation in terms of determinants of the order 2N, we attempt to classify quasirational solutions of the one-dimensional focusing nonlinear Schrödinger equation and also formulate several conjectures about the structure of the solutions. These solutions can be written as a product of a t-dependent exponential times a quotient of two N(N+1)th degree polynomials in x and t depending on 2N?2 parameters. It is remarkable that if all parameters are equal to zero in this representation, then we recover the PN breathers. 相似文献
15.
We propose a geometric correspondence between (a) linearly degenerate systems of conservation laws with rectilinear rarefaction
curves and (b) congruences of lines in projective space whose developable surfaces are planar pencils of lines. We prove that
in P
4 such congruences are necessarily linear. Based on the results of Castelnuovo, the classification of three-component systems
is obtained, revealing a close relationship of the problem with projective geometry of the Veronesé variety V
2⊂P
5 and the theory of associativity equations of two-dimensional topological field theory.
Received: 15 August 2001 相似文献
16.
In this paper, we study the partition function $p_{[c^{l}d^{m}]}(n)$ defined by $\sum_{n=0}^{\infty}p_{[c^{l}d^{m}]}(n)q^{n}=(q^{c};q^{c})_{\infty}^{-l}(q^{d};q^{d})_{\infty}^{-m}$ and prove some analogues of Ramanujan??s partition identities. We also deduce some interesting partition congruences. 相似文献
17.
Remmers (Adv. Math. 36:283–296, 1980) uses group diagrams in the Euclidean plane to demonstrate how equality in a semigroup S “mirrors” that inside the group G sharing the same presentation with S, when S satisfies Adyan’s condition—no cycles in the left/right graphs of the semigroup’s presentation. Goldstein and Teymouri (Semigroup
Forum 47:299–304, 1993) introduce a conjugacy equivalence relation for semigroups S. By closely examining the geometry of annular group diagrams in the plane, they show how their equivalence relation mirrors
conjugacy inside G, for S satisfying Adyan’s. In this article we introduce two cancellative commutative congruences. Following their leads, we examine
the geometry of group diagrams on closed surfaces of higher genera to demonstrate how these congruences mirror equality inside
two naturally associated Abelian quotient groups G/[G,G] and G/G
2, respectively. In these instances we can drop Adyan’s condition. 相似文献
18.
Two dynamical deformation theories are presented – one for surface homeomorphisms, called pruning, and another for graph endomorphisms, called kneading– both giving conditions under which all of the dynamics in an open set can be destroyed, while leaving the dynamics unchanged elsewhere. The theories are related to each other and to Thurston’s classification of surface homeomorphisms up to isotopy. Received February 20, 2000 / final version received February 26, 2001?Published online May 29, 2001 相似文献
19.
《Communications in Nonlinear Science & Numerical Simulation》2014,19(7):2200-2211
The complete group classification of a generalization of the Black–Scholes–Merton model is carried out by making use of the underlying equivalence and additional equivalence transformations. For each nonlinear case obtained through this classification, invariant solutions are given. To that end, two boundary conditions of financial interest are considered, the terminal and the barrier option conditions. 相似文献
20.
We introduce the notions of a pre--set and a pre-V-set in a topological space. We study the fundamental properties of pre--sets and pre-V-sets and investigate the topologies defined by these families of sets. 相似文献