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Fractal Geometry, Complex Dimensions and Zeta Functions

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Cover of 'Fractal Geometry, Complex Dimensions and Zeta Functions'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Complex Dimensions of Ordinary Fractal Strings
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    Chapter 3 Complex Dimensions of Self-Similar Fractal Strings
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    Chapter 4 Complex Dimensions of Nonlattice Self-Similar Strings: Quasiperiodic Patterns and Diophantine Approximation
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    Chapter 5 Generalized Fractal Strings Viewed as Measures
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    Chapter 6 Explicit Formulas for Generalized Fractal Strings
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    Chapter 7 The Geometry and the Spectrum of Fractal Strings
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    Chapter 8 Periodic Orbits of Self-Similar Flows
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    Chapter 9 Tubular Neighborhoods and Minkowski Measurability
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    Chapter 10 The Riemann Hypothesis and Inverse Spectral Problems
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    Chapter 11 Generalized Cantor Strings and their Oscillations
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    Chapter 12 The Critical Zeros of Zeta Functions
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    Chapter 13 Concluding Comments, Open Problems, and Perspectives
Attention for Chapter 10: The Riemann Hypothesis and Inverse Spectral Problems
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Chapter title
The Riemann Hypothesis and Inverse Spectral Problems
Chapter number 10
Book title
Fractal Geometry, Complex Dimensions and Zeta Functions
Published by
Springer, New York, NY, January 2006
DOI 10.1007/978-0-387-35208-4_10
Book ISBNs
978-0-387-33285-7, 978-0-387-35208-4
View on publisher site

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