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Generalized Minkowski Content, Spectrum of Fractal Drums, Fractal Strings and the Riemann Zeta-Functions.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1997Copyright date: ©1997Edition: 1st edDescription: 1 online resource (114 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470401931
Subject(s): Genre/Form: Additional physical formats: Print version:: Generalized Minkowski Content, Spectrum of Fractal Drums, Fractal Strings and the Riemann Zeta-FunctionsDDC classification:
  • 510 s;515/.353
LOC classification:
  • QA377 -- .H4 1997eb
Online resources:
Contents:
Intro -- Contents -- 1 Introduction -- 2 Statement of the Main Results -- 2.1 One-dimensional case (n = 1) -- 2.2 Higher dimensional case -- 3 Sharp Error Estimates and their Converse when n = 1 -- 3.1 Preliminaries -- 3.2 Two-sided estimates -- 3.3 One-sided estimates -- 4 Spectra of Fractal Strings and the Riemann Zeta-Function -- 4.1 Characterization of h-Minkowski measurability -- 4.2 Existence of a monotonic second term: the Riemann zetafunction -- 5 The Complex Zeros of the Riemann Zeta-Function -- 6 Error Estimates for n ≥ 2 -- 7 Examples -- Appendix: Examples of Gauge Functions -- References.
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Intro -- Contents -- 1 Introduction -- 2 Statement of the Main Results -- 2.1 One-dimensional case (n = 1) -- 2.2 Higher dimensional case -- 3 Sharp Error Estimates and their Converse when n = 1 -- 3.1 Preliminaries -- 3.2 Two-sided estimates -- 3.3 One-sided estimates -- 4 Spectra of Fractal Strings and the Riemann Zeta-Function -- 4.1 Characterization of h-Minkowski measurability -- 4.2 Existence of a monotonic second term: the Riemann zetafunction -- 5 The Complex Zeros of the Riemann Zeta-Function -- 6 Error Estimates for n ≥ 2 -- 7 Examples -- Appendix: Examples of Gauge Functions -- References.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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