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.
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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.
Imprint | Springer |
Country of origin | Germany |
Series | Lecture Notes in Earth Sciences, 211 |
Release date | September 2008 |
Availability | Supplier out of stock. If you add this item to your wish list we will let you know when it becomes available. |
First published | September 2008 |
Authors | Michel L Lapidus, Machiel Frankenhuijsen |
Dimensions | 156 x 234 x 25mm (L x W x T) |
Format | Paperback - Trade |
Pages | 171 |
ISBN-13 | 978-0-387-51310-2 |
Barcode | 9780387513102 |
Languages | value, value |
Categories | |
LSN | 0-387-51310-8 |