Vesselin Petkov 1999 Nonlinearity 12 1663 doi:10.1088/0951-7715/12/6/315
Vesselin Petkov
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We study the dynamical zeta function ZD(s) related to the periodic trajectories of the billiard flow for several disjoint strictly convex bodies in
3. We show that the analytic properties of ZD(s) close to the line of absolute convergence Re s = s0 are similar to the behaviour close to the line Re s = 1 of the inverse Q(s) = 1/R(s) of the classical Riemann zeta function R(s).
Issue 6 (November 1999)
Received 21 October 1998, in final form 3 September 1999
Vesselin Petkov 1999 Nonlinearity 12 1663
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