Abstract
Introduction String theory on a circle and T-duality: Analogy with the Riemann zeta function Fractal strings and fractal membranes Noncommutative models of fractal strings: Fractal membranes and beyond Towards an 'arithmetic site': Moduli spaces of fractal strings and membranes Vertex algebras The Weil conjectures and the Riemann hypothesis The Poisson summation formula, with applications Generalized primes and Beurling zeta functions The Selberg class of zeta functions The noncommutative space of Penrose tilings and quasicrystals Bibliography Conventions Index of symbols Subject index Author index.
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