Results 271 to 280 of about 1,959,412 (322)

Remainder term in the Weyl-Selberg asymptotic formula

Journal of Soviet Mathematics, 1981
A B Venkov
exaly   +2 more sources

An Asymptotic Formula in \(q\) for the Number of \([n, k]~q\) -Ary MDS Codes

IEEE Transactions on Information Theory, 2013
We obtain an asymptotic formula in q, as well as new upper and lower bounds, for the number of MDS codes of length n and dimension k over a finite field with q elements.
K. Kaipa
semanticscholar   +1 more source

Asymptotic Formulae and Divisor Problems

Acta Mathematica Hungarica, 1999
As a generalization of the usual divisor function \(\tau(n)\) let a multiplicative function \(\tau_z(n,\theta)\) be defined by \[ \zeta^z (s) \zeta^z (s-i \vartheta)=\sum^\infty_{n=1} \tau_z(n,\vartheta)n^{-3},\quad\sigma>1 \] where \(z\) is a complex number, \(\theta\) a real number, \(\zeta\) the Riemann zeta-function, and \(s=\sigma+it\).
Calderón, C., Zárate, M. J.
openaire   +1 more source

Asymptotic formulas on flat surfaces

Ergodic Theory and Dynamical Systems, 2001
We find asymptotics for the number of cylinders and saddle connections on flat surfaces. These results extend previous results of Veech.
Eskin, Alex, Masur, Howard
openaire   +2 more sources

Asymptotic formula for the flexible bar

Mechanism and Machine Theory, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

On asymptotic formulae via summability

Mathematics and Computers in Simulation, 2011
The authors provide some Korovkin-type result on asymptotic formulae for sequences of linear operators which are \(A\)-summable.
P. Garrancho, D. Cárdenas-Morales, F. Aguilera   +2 more
openaire   +1 more source

An Asymptotic Formula for the Iterates of a Function

Results in Mathematics, 1993
Under certain conditions on a function \(f\) it is shown that the \((kn)\)-th iterates of \(f\) have the asymptotic structure \(f^{(kn)}(x/n)=\sum_{i=1}^ r (nk)^{-i} f_ i(kx)+o(n^{-r})\) for \(n\to\infty\), where \(k\), \(n\) are natural numbers and \(| x|\) is sufficiently small.
openaire   +2 more sources

An Asymptotic Formula for the Segre Classes

The Journal of Geometric Analysis
Let \(X\) be a compact complex manifold and \(E\) a holomorphic vector bundle of rank \(r\) over \(X\). The Chern classes \(c_k(E)\) and its Segre classes \(s_k(E)\) are important topological invariants of \((X,E)\). The main result in the paper under review, see Thm.
Yaxiong Liu, Zhuo Liu, Hui Yang
openaire   +1 more source

Ratio asymptotics and quadrature formulas

Constructive Approximation, 1997
Suppose \(p_n\) \((n=0,1,2,\ldots)\) is a sequence of orthogonal polynomials on the real line, satisfying a three-term recurrence relation \(tp_n(t) = a_{n+1}p_{n+1}(t)+b_np_n(t)+a_np_{n-1}(t)\). The author gives a method for obtaining the asymptotic behaviour of the ratio \(s_n(z)/p_n(z)\) for a comparison sequence \(s_n\) \((n=0,1,2,\ldots)\) of ...
openaire   +2 more sources

An asymptotic formula for the moments of the Minkowski question mark function in the interval [0, 1]

, 2008
In this paper, we prove an asymptotic formula for the moments of the Minkowski question mark function, which describes the distribution of rationals in the Farey tree.
Giedrius Alkauskas
semanticscholar   +1 more source