Results 241 to 250 of about 332,668 (285)

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 seat bias formulas

Metrika, 2005
Apportionment methods are used to round the vote proportions of parties in a proportional representation system to integer numbers of seats in the parliament. Seat biases quantify by how much on average a particular apportionment method favors larger (or smaller) parties.
Mathias Drton, Udo Schwingenschlögl
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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 ...
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Explicit Formulas and Asymptotics

2003
So far we have concentrated mainly on subgroup growth type, a rough-and-ready estimate for the rate of growth of a n (G). In the last three chapters of the book, we take a closer look at the numbers a n (G) themselves. Of course, the detailed arithmetical and asymptotic properties of this sequence will depend on the nature of the groups G under ...
Alexander Lubotzky, Dan Segal
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Asymptotic Dipole Radiation Formulas

Bell System Technical Journal, 1929
The analysis of the radiation from dipoles as given hy Sommerfeld and by von Hoerschelmann is deficient in one respect: it does not give the true1 asymptotic expressions for the radiation leaving at a considerable angle from the horizontal. The correct asymptotic formulas have already heen easily supplied by an appeal to the Reciprocal Theorem; lately ...
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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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Asymptotic Formulas for Small Sessile Drops

Zeitschrift für Analysis und ihre Anwendungen, 1994
We will prove asymptotic foriiulas for the wetted disk of a drop with small volume resting on a horizontal plane which is in a vertical gravity field. These formulas are general-izations of results of Finn. There is a non-uniformity in the asymptotic behaviour depending on whether the boundary contact angle is near
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Asymptotic formulae for positive linear operators.

2002
Asymptotic formulae for sequences of approximating positive linear operators play an important role in the investigation of the corresponding saturation classes. As a consequence of the pioneering work of the first author it has been shown that asymptotic formulae are useful also in studying the representation of some semigroups of operators in terms ...
ALTOMARE, Francesco, AMIAR R.
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