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The goal of this publication is to explain the theory of ideal class groups, including its algebraic aspect (the Iwasawa class number formula), its analytic... Læs mere
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The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years... Læs mere
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Sophie Germain (1776-1831) was largely self-taught in mathematics and, two centuries ago, in solitude, devised and implemented a plan... Læs mere
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Ce livre constitue un expose detaille de la serie de cours donnes en 2020 par le Prof. Nicolas Bergeron, titulaire de la Chaire... Læs mere
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The theory of quantum algorithms is based on advanced concepts from computer science, mathematics, and physics. This book offers a mathematically precise exploration... Læs mere
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Marks the 20th anniversary of the New York Number Theory Seminar (NYNTS). Beginning in 1982, the NYNTS has tried to present research in number theory and related... Læs mere
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The book focuses on two major topics: Andrew Wiles' recent proof of the Taniyama-Shimura-Weil conjecture for semistable elliptic curves; and the earlier works of Frey, Serre, Ribet showing that Wiles' Theorem would complete the proof of Fermat's Last Theorem.
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Comprising the proceedings of a NATO workshop on numerical integration (both single and multidimensional), this work is divided into four parts: rules, error analysis, applications and algorithms and software. Many papers are relevant to more than one category.