نتایج جستجو برای: weyl titchmarsh m function
تعداد نتایج: 1689316 فیلتر نتایج به سال:
On 2D newest vertex bisection: Optimality of mesh-closure and H 1-stability of L 2-projection Inverse estimates for elliptic integral operators and application to the adaptive coupling of FEM and BEM 06/2012 Quasi-optimal a priori estimates for fluxes in mixed finite element methods and applications to the Stokes-Darcy coupling 04/2012 M. Langer, H. Woracek Indefinite Hamiltonian systems whose ...
ON THE NORMAL NUMBER OF PRIME FACTORS OF p-l AND SOME RELATED PROBLEMS CONCERNING EULER’S +-FUNCTION
THIS paper is concerned wit,h some problems considered by Hardy and R’amanujan, Titchmarsh, and Pillai. Suppose we are given a set ii of positive integers m. Let N(n,) denote Dhe number of m in t’he interval (0, n). By saying t’hat the norma, number of prime factors of a number m is B(n), we mean Dha’t, as n + co, t,here are only o[N(n)] of the m (< n) for which the number of prime factors does...
In this paper, by using the concept of spherically symmetric metric, we defne the notion of λ-projectively related metrics as an extension of projectively related metrics. We construct some non-trivial examples of λ-projectively related metrics. Let F and G be two λ-projectively related metrics on a manifold M. We find the relation between the geodesics of F and G and prove that any geodesic of...
where the sum is taken over a complete set of residues for x modulo q and eq(t) = e2πit/q. The study of these sums is readily motivated by applications in analytic number theory and elsewhere. The first important estimates for sums in one variable appear in the work of Weyl (1916) on uniform distribution. This led to van der Corput’s method with applications to the zeta function, the divisor pr...
A Weyl–Titchmarsh type formula for a discrete Schrödinger operator with Wigner–von Neumann potential
A “conformal tensor” is constructed from the metric tensor gMN (or Vielbein e A M ) and is invariant against Weyl rescaling gMN → egMN (or eM → eeM ). Moreover, it vanishes if and only if the space is conformally flat, gMN = e ηMN (or e A M = eδ M ). In dimension four or greater the conformal tensor is the Weyl tensor. In three dimensions the Weyl tensor vanishes identically, while the Cotton t...
In this paper, we obtain a necessary and sufficient condition for a conformal mapping between two Weyl manifolds to preserve Einstein tensor. Then we prove that some basic curvature tensors of $W_n$ are preserved by such a conformal mapping if and only if the covector field of the mapping is locally a gradient. Also, we obtained the relation between the scalar curvatures of the Weyl manifolds r...
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