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An exposition of the theory of curves over a finite field, and connections to the Riemann Hypothesis for function fields.

An exposition of the theory of curves over a finite field, and connections to the Riemann Hypothesis for function fields.

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. This second edition of Fractal Geometry, Complex Dimensions and Zeta Functions will appeal to students and researchers in number theory, fractal geometry, dynamical systems, spectral geometry, complex analysis, distribution theory, and mathematical physics. The...