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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
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
Riemann Hypothesis and Spectral Theory
Language: en
Pages: 343
Authors: Jason Cole
Categories:
Type: BOOK - Published: 2021-09-19 - Publisher:

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This book provides a brief overview of the Riemann Zeta function, Riemann Hypothesis and the Hilbert-Polya spectral operator approach to proving RH. Also includ
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
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
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