Number Theory

Download E-books Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (Springer Monographs in Mathematics) PDF

By Michel L. Lapidus

Quantity idea, spectral geometry, and fractal geometry are interlinked during this learn of the vibrations of fractal strings, that's, one-dimensional drums with fractal boundary. The Riemann speculation is given a usual geometric reformulation in context of vibrating fractal strings, and the ebook bargains particular formulation prolonged to use to the geometric, spectral and dynamic zeta services linked to a fractal.

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