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.
- ISBN10 0387332855
- ISBN13 9780387332857
- Publish Date 1 August 2006 (first published 1 January 2006)
- Publish Status Out of Print
- Out of Print 16 March 2021
- Publish Country US
- Imprint Springer-Verlag New York Inc.
- Format Hardcover
- Pages 484
- Language English