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Dynamical, Spectral, and Arithmetic Zeta Functions
Language: en
Pages: 210
Authors: Michel Laurent Lapidus
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: American Mathematical Soc.

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The original zeta function was studied by Riemann as part of his investigation of the distribution of prime numbers. Other sorts of zeta functions were defined
Fractal Geometry, Complex Dimensions and Zeta Functions
Language: en
Pages: 583
Authors: Michel L. Lapidus
Categories: Mathematics
Type: BOOK - Published: 2012-09-20 - Publisher: Springer Science & Business Media

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Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional dru
Ten Physical Applications of Spectral Zeta Functions
Language: en
Pages: 234
Authors: Emilio Elizalde
Categories: Science
Type: BOOK - Published: 2012-05-31 - Publisher: Springer

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Zeta-function regularization is a powerful method in perturbation theory, and this book is a comprehensive guide for the student of this subject. Everything is
Arithmetic Groups and Their Generalizations
Language: en
Pages: 282
Authors: Lizhen Ji
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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In one guise or another, many mathematicians are familiar with certain arithmetic groups, such as $\mathbf{Z}$ or $\textrm{SL}(n, \mathbf{Z})$. Yet, many applic
Surveys in Noncommutative Geometry
Language: en
Pages: 212
Authors: Nigel Higson
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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In June 2000, the Clay Mathematics Institute organized an Instructional Symposium on Noncommutative Geometry in conjunction with the AMS-IMS-SIAM Joint Summer R