Dit zijn woorden examples gerelateerd aan zeta. Klik op een woord om naar de detailpagina van het woord te gaan. Of, ga naar de definitie van zeta.
For that purpose, it is most efficient to use the well-known relation between residues of zeta functions and asymptotic expansions of related theta functions.
Then, their asymptotic behavior is shown to be related to the singularities on the critical line of twisted zeta functions.
This approach also allows computation of the zeta function for the substitution.
We believe it sheds a new light on weighted dynamical zeta functions associated to smooth (non-analytic) maps.
The zeta function will clearly be the same for functions which differ by coboundaries or which are related by automorphisms.
Moreover, there are no assumptions on the zeta functions of the systems under consideration.
The example above clearly exhibits this phenomenon for the parameterization of zeta functions.
Therefore, the following parameterization of zeta functions is obtained.
We survey some recent progress in the theory of dynamical zeta functions and explain its implications for counting problems.
In the second section we introduce a dynamical zeta function and derive some important properties of its analytic extension.
At this point we can pass from spectral properties of operators to analyticity properties of determinants and zeta functions.
We work with the reciprocals of these zeta functions, and consider their power series expansions.
In the second step, we deduce its asymptotic behavior from the knowledge of the singularities of these zeta functions.
An important technical tool in studying the zeta function is a family of linear operators.
In this section we will study our zeta functions for -graph systems coming from labeled graphs.
