Fractal Geometry, Complex Dimensions and Zeta Functions
Author: Michel L. Lapidus
Publisher: Springer Science & Business Media
Published: 2007-08-08
Total Pages: 472
ISBN-13: 0387352082
DOWNLOAD EBOOKNumber 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.