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Fractal Geometry, complex dimensions, and Zeta functions: geometry and spectra of fractal strings
Offers a study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. This book interlinks number theory, spectral geometry, and fractal geometry. It gives the Riemann hypothesis a natural geometric reformulation in the context of vibrating fractal strings. It in...
Autores principales: | , |
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Lenguaje: | eng |
Publicado: |
Springer
2006
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/978-0-387-35208-4 http://cds.cern.ch/record/1165744 |
Sumario: | Offers a study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. This book interlinks number theory, spectral geometry, and fractal geometry. It gives the Riemann hypothesis a natural geometric reformulation in the context of vibrating fractal strings. It includes theorems, examples and illustrations |
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