Twisted Perron-Frobenius theorem and L-functions

Abstract A theorem of Perron-Frobenius type and its twisted version are established in a setting of topological graphs. The applications include a partial extension of Selberg's results on his zeta functions and a result by Parry and Pollicott on meromorphic continuations of dynamical zeta functions to certain L -functions associated to a dynamical system of Anosov type.

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