Results 211 to 220 of about 16,410 (257)

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.
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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
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Asymptotic formula for the flexible bar

Mechanism and Machine Theory, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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   +2 more
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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.
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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
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