Meromorphic continuation approach to noncommutative geometry

Meromorphic continuation of higher-rank Eisenstein series

Expanded version of a talk given in Tel Aviv, Israel, 22 March 2001. To trivialize the proof of meromorphic continuation of Eisenstein series, we want to use only standard facts, together with Bernstein’s formulation of a continuation principle. In particular, one should prove meromorphic continuation as a vector-valued function, from which one infers that the continuation is of moderate growth...

Meromorphic Continuation of the Goldbach Generating Function

To shift the path of integration to the left, one needs at least meromorphic continuation to some half-plane R s > r− δ as well as some information on the growth and the distribution of the poles of Φr. Assuming the Riemann hypothesis, Egami and Matsumoto[4] described the behavior for the case r = 2. In addition to the RH, parts of their results depend on unproved assumptions on the distributio...

Meromorphic Continuation of the Spectral Shift Function

We obtain a representation of the derivative of the spectral shift function ξ(λ, h) in the framework of semi-classical ”black box” perturbations. Our representation implies a meromorphic continuation of ξ(λ, h) involving the semi-classical resonances. Moreover, we obtain a Weyl type asymptotics of the spectral shift function as well as a Breit-Wigner approximation in an interval (λ− δ, λ+ δ), 0...

The Variable Geometry Approach to International

Negotiations among nations on policies to promote international economic integration have widened in recent years to cover new issues; for example, foreign direct investment rules, policies to promote competition, the international movement of labor, the environment and monetary union. In these negotiations, a consensus among the parties negotiating is usually lacking and many of these negotiat...

Noncommutative geometry