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ON UNIQUENESS OF SOLUTION OF A n-TH ORDER DIFFERENTIAL EQUATION IN CONFORMAL GEOMETRY
ON UNIQUENESS OF SOLUTION A n-TH ORDER DIFFERENTIAL EQUATION CONFORMAL GEOMETRY
2014/4/3
In this paper, we prove an uniqueness theorem for a n-th order elliptic equation on the standard n-sphere Sn. The problem arises naturally from the point of view of conformal geometry. The method we u...
The alpha-calculus-cum-alpha-analysis of r-th order derivative of zeta(s,alpha)
Hurwitz zeta function Bernoulli polynomials /numbers Number Theory
2011/9/14
Abstract: For the higher order derivative(with respect to the first variable) of Hurwitz zeta function,we discuss as a function of the second variable,the location and the nature of its singularities ...
An identity on the $2m$-th power mean value of the generalized Gauss sums
2m-th power mean exact calculating formula generalized quadratic Gauss sums Number Theory
2011/9/5
Abstract: In this paper, using combinatorial and analytic methods, we prove an exact calculating formula on the $2m$-th power mean value of the generalized quadratic Gauss sums for $m\geq 2$. This sol...
Topological centers of $n-$th dual of module actions
Arens regularity bilinear mappings Topological center n-th dual
2011/2/21
In this paper, we will study the topological centers of n−th dual of Banach A−module and we extend some propositions from Lau and ¨Ulger into n−th dual of Banach A−modules wher...
For two distinct primes p and l, we investigate the Z_l-cohomology of the Lubin-Tate towers of a p-adic field. We prove that it realizes some version of Langlands and Jacquet-Langlands correspondence...
Projected Flat m-th Root Finsler Metrics
Finsler metric projected flat m-th root metric locally Minkowskian
2012/9/25
Projected flat Finsler metrics on an open subset in Rn are the regular solution to Hilbert’s Fourth Problem. We study locally projected flat m-th root Finsler metrics and its generalized metrics in t...
Parity balance of the $i$-th dimension edges in Hamiltonian cycles of the hypercube
Hypercube Hamiltonian cycles i-th dimension edges equi-independence number
2010/12/8
Let n 2 be an integer, and let i 2 f0; : : : ; n 1g. An i-th dimension edge in the n-dimensional hypercube Qn is an edge v1v2 such that v1; v2 di er just at their i-th entries. The parity...
Sur le théorème de F. Schur pour une variété presque hermitienne
Sur le théorème de F. Schur une variété presque hermitienne
2010/12/6
Sur le théorème de F. Schur pour une variété presque hermitienne.
On a Problem for Isometric Mappings of $\mathbb{S}^n$ Posed by Th. M. Rassias
$n-$sphere isometry
2010/1/22
In this article we prove the problem on isometric mappings of posed by Th. M. Rassias. We prove that any map , preserving two angles and ( ) is an isometry. With the assumption of continuity we ...
Bounds on the Expectations of $k^{th}$ Record Increments
Record statistics Record increments Bounds for moments Moriguti monotone approximation
2008/7/2
Here in this paper, we establish sharp bounds on the expectations of kth record increments from general and non-negative parent distributions. We also determine the probability distributions for which...
Some Results on $L^1$ Approximation of the $r$-th Derivate of Fourier Series
$L^1$-approximation Fourier series Sidon-Telyakovskii class Telyakovskii inequality
2008/6/26
Some Results on $L^1$ Approximation of the $r$-th Derivate of Fourier Series.
This special issue of the Journal of Computational Mathematics is
dedicated to Professor Qun Lin, an outstanding mathematician and a
Member of Chinese Academy of Sciences (CAS), on the occasion of h...
ON THE κ-th LARGEST EIGENVALUE OF THE LAPLACIAN MATRIX OF A GRAPH
Laplacian matrix eigenvalue
2007/12/10
In this paper,we give the upper bound and lower bound of k-th largest eigenvalue λ_κ of the Laplacian matrix of a graph G in terms of the edge number of G and the number of spanning trees of G.
Une identité remarquable en théorie des partitions
Une identité remarquable théorie partitions
2010/10/29
We prove an identity about partitions, previously conjectured in the study of shifted Jack polynomials (math.CO/9903020). The proof given is using $\lambda$-ring techniques. It would be interesting t...