Fractal Geometry, Complex Dimensions and Zeta Functions - Geometry and Spectra of Fractal Strings, Monographs in Mathematics
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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.
Fractal Geometry, Complex Dimensions and Zeta Functions - Geometry and Spectra of Fractal Strings, Monographs in Mathematics
| ISBN |
| 9780387332857 |
Author : Michel L. Lapidus
Publisher: Springer-Verlag New York, LLC
Published: 2008
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