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From number theory to physics

Author: Michel Waldschmidt; P Cartier
Publisher: Berlin ; New York : Springer-Verlag, ©1992.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Summary:

The present book contains fourteen expository contributions on various topics connected to Number Theory, or Arithmetics, and its relationships to Theoreti- cal Physics.

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Details

Genre/Form: Conference papers and proceedings
Kongress
Congresses
Material Type: Conference publication, Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Michel Waldschmidt; P Cartier
ISBN: 3540533427 9783540533429 0387533427 9780387533421
OCLC Number: 26398073
Notes: "Lectures given at the meeting 'Number Theory and Physics' held at the Centre de physique, Les Houches, France, March 7-16, 1989"--Title page verso.
Description: x, 690 pages : illustrations ; 25 cm
Contents: Ch. 1. An Introduction to Zeta Functions / P. Cartier --
Ch. 2. Introduction to Compact Riemann Surfaces, Jacobians, and Abelian Varieties / J.-B. Bost --
Ch. 3. Elliptic Curves / H. Cohen --
Ch. 4. Introduction to Modular Forms / D. Zagier --
Ch. 5. Decorated Elliptic Curves: Modular Aspects / R. Gergondey --
Ch. 6. Galois Theory, Algebraic Number Theory, and Zeta Functions / H.M. Stark --
Ch. 7. Galois Theory for Coverings and Riemann Surfaces / E. Reyssat --
Ch. 8. Differential Galois Theory / F. Beukers --
Ch. 9. p-adic Numbers and Ultrametricity / G. Christol --
Ch. 10. Introduction to Lattice Geometry / M. Senechal --
Ch. 11. A Short Introduction to Quasicrystallography / A. Katz --
Ch. 12. Gap Labelling Theorems for Schrodinger Operators / J. Bellissard --
Ch. 13. Circle Maps: Irrationally Winding / P. Cvitanovic --
Ch. 14. An Introduction to Small Divisors Problems / J.-C. Yoccoz.
Responsibility: M. Waldschmidt [and others] (eds.) ; with contributions by P. Cartier [and others].
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