Can I read Quantized number theory, fractal strings and the Riemann hypothesis : from spectral operators to phase transitions and universality on EtoBox?

Quantized number theory, fractal strings and the Riemann hypothesis : from spectral operators to phase transitions and universality by Hafedh Herichi;Michel L Lapidus; is a book available to read on EtoBox.

What is Quantized number theory, fractal strings and the Riemann hypothesis : from spectral operators to phase transitions and universality about?

"Studying the relationship between the geometry, arithmetic and spectra of fractals has been a subject of significant interest in contemporary mathematics. This book contributes to the literature on the subject in several different and new ways. In particular, the authors provide a rigorous and detailed study of the spectral operator, a map that sends the geometry of fractal strings onto their spectrum. To that effect, they use and develop methods from fractal geometry, functional analysis, complex analysis, operator theory, partial differential equations, analytic number theory and mathematical physics. Originally, M L Lapidus and M van Frankenhuijsen 'heuristically' introduced the spectral operator in their development of the theory of fractal strings and their complex dimensions, specifically in their reinterpretation of the earlier work of M L Lapidus and H Maier on inverse spectral problems for fractal strings and the Riemann hypothesis. One of the main themes of the book is to provide a rigorous framework within which the corresponding question "Can one hear the shape of a fractal string?" or, equivalently, "Can one obtain information about the geometry of a fractal string, g

Author

Hafedh Herichi;Michel L Lapidus;

Publisher

World Scientific Publishing Company

Published

2021

Language

EN

ISBN

9789813230811