Fractal Geometry, Complex Dimensions and Zeta Functions
| Author | : Michel L. Lapidus |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 472 |
| Release | : 2007-08-08 |
| ISBN-10 | : 9780387352084 |
| ISBN-13 | : 0387352082 |
| Rating | : 4/5 (082 Downloads) |
Book Synopsis Fractal Geometry, Complex Dimensions and Zeta Functions by : Michel L. Lapidus
Download or read book Fractal Geometry, Complex Dimensions and Zeta Functions written by Michel L. Lapidus and published by Springer Science & Business Media. This book was released on 2007-08-08 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.