Optimality of Ruelle's bound for the domain of meromorphy of generalized zeta functions
Baladi, V. (1992)
Portugaliae mathematica
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Displaying similar documents to “The zeta functions of Ruelle and Selberg. I”
Optimality of Ruelle's bound for the domain of meromorphy of generalized zeta functions
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Satoshi Koike, Adam Parusiński (2003)
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To a given analytic function germ , we associate zeta functions , , defined analogously to the motivic zeta functions of Denef and Loeser. We show that our zeta functions are rational and that they are invariants of the blow-analytic equivalence in the sense of Kuo. Then we use them together with the Fukui invariant to classify the blow-analytic equivalence classes of Brieskorn polynomials of two variables. Except special series of singularities our method classifies as well the blow-analytic...
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Alain Connes (1997)
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Relative determinants of elliptic operators and scattering theory
Werner Müller (1996)
Journées équations aux dérivées partielles
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Integral Representations of the Logarithmic Derivative of the Selberg Zeta Function
Gušić, Dženan (2010)
Mathematica Balkanica New Series
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AMS Subj. Classification: MSC2010: 11F72, 11M36, 58J37 We point out the importance of the integral representations of the logarithmic derivative of the Selberg zeta function valid up to the critical line, i.e. in the region that includes the right half of the critical strip, where the Euler product definition of the Selberg zeta function does not hold. Most recent applications to the behavior of the Selberg zeta functions associated to a degenerating sequence of finite volume,...