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Details
Title
Physics and Number Theory ([EBook] /) / Louise Nyssen
Added Personal Name
Nyssen, Louise
Publication
Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2006
Physical Details
1 online resource (274 pages)
Series
IRMA Lectures in Mathematics and Theoretical Physics (IRMA)
2523-5133 ; ; 10
ISBN
9783037195284
Summary Note
There is a rich and historical relationship between theoretical physics and number theory. This volume presents a selection of problems which are currently in full development and inspire a lot of research going on. Each of the seven contributions starts with an introductory survey which makes it possible even for non-specialists to understand the results and to gain an idea of the great variety of subjects and techniques used. Topics covered are: phase locking in oscillating systems, crystallography, Hopf algebras and renormalisation theory, Zeta-function and random matrices, Kloosterman sums and the local Langlands correspondence. Intended for research mathematicians and theoretical physicists as well as graduate students, this volume gives an overview of recent developments in an exciting subject crossing several disciplines.:
Contents note
The phase of oscillations and prime numbers: classical and quantum /: On self-similar finitely generated uniformly discrete (SFU-)sets and sphere packings /: Nested quasicrystalline discretisations of the line /: Hopf algebras in renormalization theory: locality and Dyson–Schwinger equations from Hochschild cohomology /: Fonction ζ et matrices aléatoires /: Some recent applications of Kloostermania /: Introduction à la correspondance de Langlands locale /:
Mode of acces to digital resource
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.4171/028
See Also
https://www.ems-ph.org/img/books/nyssen_mini.jpg
Links to Related Works
Subject References:
Analytic number theory
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Computer Science
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Convex and Discrete Geometry
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Number Theory
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Quantum physics (quantum mechanics)
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Quantum theory
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Authors:
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Nyssen, Louise
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IRMA Lectures in Mathematics and Theoretical Physics (IRMA)
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