Description
Book SynopsisFormulated in 1859, Riemann Hypothesis is the most celebrated and multifaceted open problem in mathematics. This book proposes a fresh approach to understand and possibly solve the Riemann Hypothesis. It is suitable for graduate students, experts and nonexperts alike, with an interest in number theory, analysis, dynamical systems, and arithmetic.
Table of ContentsIntroduction 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.
