Quantized Number Theory, Fractal Strings and the Riemann Hypothesis - Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications
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9789813230798, 9789813230804

Latest Documents Most Cited Documents Contributed Authors Related Sources Related Keywords

Generalized Fractal Strings and Complex Dimensions

Quantized Number Theory, Fractal Strings and the Riemann Hypothesis - Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications ◽

10.1142/9789813230804_0002 ◽

2021 ◽

pp. 19-36

Keyword(s):

Fractal Strings ◽

Complex Dimensions

Introduction

Quantized Number Theory, Fractal Strings and the Riemann Hypothesis - Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications ◽

10.1142/9789813230804_0001 ◽

2021 ◽

pp. 1-18

Spectral Reformulation of the Riemann Hypothesis

Quantized Number Theory, Fractal Strings and the Riemann Hypothesis - Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications ◽

10.1142/9789813230804_0008 ◽

2021 ◽

pp. 215-233

Keyword(s):

Riemann Hypothesis

FRONT MATTER

Quantized Number Theory, Fractal Strings and the Riemann Hypothesis - Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications ◽

10.1142/9789813230804_fmatter ◽

2021 ◽

pp. i-xxxix

Appendices

Quantized Number Theory, Fractal Strings and the Riemann Hypothesis - Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications ◽

10.1142/9789813230804_0012 ◽

2021 ◽

pp. 305-353

The Heuristic Spectral Operator 𝔞c

Quantized Number Theory, Fractal Strings and the Riemann Hypothesis - Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications ◽

10.1142/9789813230804_0004 ◽

2021 ◽

pp. 55-63

Keyword(s):

Spectral Operator

Zeta Values, Riemann Zeros and Phase Transitions for 𝔞c = ζ(∂c)

Quantized Number Theory, Fractal Strings and the Riemann Hypothesis - Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications ◽

10.1142/9789813230804_0009 ◽

2021 ◽

pp. 235-278

Keyword(s):

Phase Transitions ◽

Zeta Values

The Spectral Operator 𝔞c = ζ(∂c): Quantized Dirichlet Series, Euler Product, and Analytic Continuation

Quantized Number Theory, Fractal Strings and the Riemann Hypothesis - Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications ◽

10.1142/9789813230804_0007 ◽

2021 ◽

pp. 149-213

Keyword(s):

Analytic Continuation ◽

Dirichlet Series ◽

Euler Product ◽

Spectral Operator

The Spectrum of the Infinitesimal Shift ∂c

Quantized Number Theory, Fractal Strings and the Riemann Hypothesis - Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications ◽

10.1142/9789813230804_0006 ◽

2021 ◽

pp. 93-148

BACK MATTER

Quantized Number Theory, Fractal Strings and the Riemann Hypothesis - Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications ◽

10.1142/9789813230804_bmatter ◽

2021 ◽

pp. 355-453