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MotorBoating
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Arithmetic, Geometry, Cryptography and Coding Theory
This volume contains the proceedings of the 17th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGC2T-17), held from June 10–14, 2019, at the Centre International de Rencontres Mathématiques in Marseille, France. The conference was dedicated to the memory of Gilles Lachaud, one of the founding fathers of the AGC2T series. Since the first meeting in 1987 the biennial AGC2T meetings have brought together the leading experts on arithmetic and algebraic geometry, and the connections to coding theory, cryptography, and algorithmic complexity. This volume highlights important new developments in the field.
Hamiltonian Perturbation Theory for Ultra-Differentiable Functions
Some scales of spaces of ultra-differentiable functions are introduced, having good stability properties with respect to infinitely many derivatives and compositions. They are well-suited for solving non-linear functional equations by means of hard implicit function theorems. They comprise Gevrey functions and thus, as a limiting case, analytic functions. Using majorizing series, we manage to characterize them in terms of a real sequence M bounding the growth of derivatives. In this functional setting, we prove two fundamental results of Hamiltonian perturbation theory: the invariant torus theorem, where the invariant torus remains ultra-differentiable under the assumption that its frequency...
Ranks of Elliptic Curves and Random Matrix Theory
This comprehensive volume introduces elliptic curves and the fundamentals of modeling by a family of random matrices.
Reid Duffy's Guide to Indiana's Favorite Restaurants, Updated Edition
Noted TV personality and columnist Reid Duffy showcases 30 Indiana restaurants that have stood the test of time in this updated and expanded edition of Indiana's Favorite Restaurants. These showcased restaurants have been in existence for 25 years or more, and in some cases for several generations. Recipes for favorite dishes from these restaurants are included so that you can recreate the foods you love at home. Approximately 60 recipes -- from Acapulco Joe's Taco Filling to Nashville House Fried Biscuits -- accompany Duffy's reviews. "Comfort food" abounds in Indiana -- 162 restaurants are included in this category, and 23 well-known steak houses are highlighted in "Where's the Beef?" No f...
Official Proceedings
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Drinfeld Modules
This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory. After the first two chapters conveniently recalling prerequisites from abstract algebra and non-Archimedean analysis, Chapter 3 introduces Drinfeld modules and the key notions of isogenies and torsion points. Over the next four chapters, Drinfeld modules are studied in settings of various fields of arithmetic importance, culminating in the case of global fields. Throughout, numerous number-theoretic applications are discussed, and the analogies between classical and function field arithmetic are emphasized. Drinfeld Modules guides readers from the basics ...
