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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Four Faces of Number Theory
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Four Faces of Number Theory
Kathrin Bringmann, Yann Bugeaud, Titus Hilberdink, Jürgen Sander (Broschiert, Englisch)
Optischer Zustand
Beschreibung
This book arose from courses given at the International Summer School organized in August 2012 by the number theory group of the Department of Mathematics at the University of Würzburg. It consists of four essentially self-contained chapters and presents recent research results highlighting the strong interplay between number theory and other fields of mathematics, such as combinatorics,… functional analysis and graph theory. The book is addressed to (under)graduate students who wish to discover various aspects of number theory. Remarkably, it demonstrates how easily one can approach frontiers of current research in number theory by elementary and basic analytic methods.
Kathrin Bringmann gives an introduction to the theory of modular forms and, in particular, so-called Mock theta-functions, a topic which had been untouched for decades but has obtained much attention in the last years. Yann Bugeaud is concerned with expansions of algebraic numbers. Here combinatorics on words and transcendence theory are combined to derive new information on the sequence of decimals of algebraic numbers and on their continued fraction expansions. Titus Hilberdink reports on a recent and rather unexpected approach to extreme values of the Riemann zeta-function by use of (multiplicative) Toeplitz matrices and functional analysis. Finally, Jürgen Sander gives an introduction to algebraic graph theory and the impact of number theoretical methods on fundamental questions about the spectra of graphs and the analogue of the Riemann hypothesis. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Bis zu 50 % günstiger als neu
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Technische Daten
Erscheinungsdatum
01.11.2015
Sprache
Englisch
EAN
9783037191422
Herausgeber
EMS Press
Serien- oder Bandtitel
EMS Series of Lectures in Mathematics
Sonderedition
Nein
Autor
Kathrin Bringmann, Yann Bugeaud, Titus Hilberdink, Jürgen Sander
Seitenanzahl
198
Auflage
1
Einbandart
Broschiert
-.-
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