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Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (Springer Monographs in Mathematics) Book
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Product Description
Number theory, spectral geometry, and fractal geometry are interlinked in this study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. The Riemann hypothesis is given a natural geometric reformulation in context of vibrating fractal strings, and the book offers explicit formulas extended to apply to the geometric, spectral and dynamic zeta functions associated with a fractal.
- 0387332855
- 9780387332857
- Michel L. Lapidus, Machiel van Frankenhuijsen
- 12 September 2006
- Springer
- Hardcover (Book)
- 464
- illustrated edition
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