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Spectral Theory of the Riemann Zeta-Function
Language: en
Pages: 246
Authors: Yoichi Motohashi
Categories: Mathematics
Type: BOOK - Published: 1997-09-11 - Publisher: Cambridge University Press

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The Riemann zeta function is one of the most studied objects in mathematics, and is of fundamental importance. In this book, based on his own research, Professo
Spectral Theory of the Riemann Zeta-Function
Language: en
Pages: 240
Authors: Yoichi Motohashi
Categories: Mathematics
Type: BOOK - Published: 1997-09-11 - Publisher: Cambridge University Press

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The Riemann zeta function is one of the most studied objects in mathematics, and is of fundamental importance. In this book, based on his own research, Professo
An Approach to the Selberg Trace Formula via the Selberg Zeta-Function
Language: en
Pages: 188
Authors: Jürgen Fischer
Categories: Mathematics
Type: BOOK - Published: 2006-11-15 - Publisher: Springer

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The Notes give a direct approach to the Selberg zeta-function for cofinite discrete subgroups of SL (2,#3) acting on the upper half-plane. The basic idea is to
Spectral Theory of Infinite-Area Hyperbolic Surfaces
Language: en
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Authors: David Borthwick
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Type: BOOK - Published: 2016-07-12 - Publisher: Birkhäuser

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This text introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of the most recent developmen
Quantized Number Theory, Fractal Strings And The Riemann Hypothesis: From Spectral Operators To Phase Transitions And Universality
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Categories: Mathematics
Type: BOOK - Published: 2021-07-27 - Publisher: World Scientific

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Studying the relationship between the geometry, arithmetic and spectra of fractals has been a subject of significant interest in contemporary mathematics. This