Fractal Geometry and Number Theory

Michel L. Lapidus () and Machiel van Frankenhuysen ()
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Michel L. Lapidus: University of California, Department of Mathematics
Machiel van Frankenhuysen: University of California, Department of Mathematics

in Springer Books from Springer

Date: 2000
ISBN: 978-1-4612-5314-3
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Chapters in this book:

Introduction

Michel L. Lapidus and Machiel van Frankenhuysen

Complex Dimensions of Ordinary Fractal Strings

Michel L. Lapidus and Machiel van Frankenhuysen

Complex Dimensions of Self-Similar Fractal Strings

Michel L. Lapidus and Machiel van Frankenhuysen

Generalized Fractal Strings Viewed as Measures

Michel L. Lapidus and Machiel van Frankenhuysen

Explicit Formulas for Generalized Fractal Strings

Michel L. Lapidus and Machiel van Frankenhuysen

The Geometry and the Spectrum of Fractal Strings

Michel L. Lapidus and Machiel van Frankenhuysen

Tubular Neighborhoods and Minkowski Measurability

Michel L. Lapidus and Machiel van Frankenhuysen

The Riemann Hypothesis, Inverse Spectral Problems and Oscillatory Phenomena

Michel L. Lapidus and Machiel van Frankenhuysen

Generalized Cantor Strings and their Oscillations

Michel L. Lapidus and Machiel van Frankenhuysen

The Critical Zeros of Zeta Functions

Michel L. Lapidus and Machiel van Frankenhuysen

Concluding Comments

Michel L. Lapidus and Machiel van Frankenhuysen

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DOI: 10.1007/978-1-4612-5314-3

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