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Various developments in physics have involved many questions related to number theory, in an increasingly direct way. This trend is especially visible in two broad families of problems, namely, field theories, and dynamical systems and chaos. The 14 chapters of this book are extended, self-contained versions of expository lecture courses given at a school on "Number Theory and Physics" held at Les Houches for mathematicians and physicists. Most go as far as recent developments in the field. Some adapt an original pedagogical viewpoint.

Number theory --- Mathematical physics --- Théorie des nombres --- Physique mathématique --- Congresses --- Congrès --- -Number theory --- 51-7 --- 511 --- 511.6 --- -#TELE:MI2 --- 511.6 Algebraic number fields --- Algebraic number fields --- 511 Number theory --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Number study --- Numbers, Theory of --- Algebra --- Physical mathematics --- Physics --- Mathematics --- Congresses. --- Mathematical physics - Congresses --- Number theory - Congresses --- -Congresses