A Prime Orbit Theorem for Self-Similar Flows and Diophantine Approximation

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Assuming some regularity of the dynamical zeta function, we establish an explicit formula with an error term for the prime orbit counting function of a suspended flow. We define the subclass of self-similar flows, for which we give an extensive analysis of the error term in the corresponding prime orbit theorem.

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Spectral Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/62577

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0111067
 http://arxiv.org/abs/math/0111067

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arXiv