By Titu Andreescu,Dorin Andrica,Zuming Feng
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The articles during this quantity are an outgrowth of a global Confer ence in Intersection thought that happened in Bologna, Italy (December 1997). In a a bit of unorthodox structure geared toward either the mathematical group in addition to summer season institution scholars, talks have been research-oriented in addition to in part expository.
This e-book hyperlinks matters: algebraic geometry and coding idea. It makes use of a unique technique in response to the idea of algebraic functionality fields. assurance contains the Riemann-Rock theorem, zeta capabilities and Hasse-Weil's theorem in addition to Goppa' s algebraic-geometric codes and different conventional codes.
This monograph offers a quick exposition of automorphic sorts of weight 1 and their functions to mathematics, specially to Galois representations. one of many notable difficulties in mathematics is a generalization of sophistication box concept to non-abelian Galois extension of quantity fields. during this quantity, we talk about a few family members among this challenge and cusp sorts of weight 1.
This monograph provides a state of the art and available therapy of a brand new basic higher-dimensional conception of complicated dimensions, legitimate for arbitrary bounded subsets of Euclidean areas, in addition to for his or her typical generalization, relative fractal drums. It offers an important extension of the present idea of zeta capabilities for fractal strings to fractal units and arbitrary bounded units in Euclidean areas of any measurement.
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Extra info for 104 Number Theory Problems: From the Training of the USA IMO Team
104 Number Theory Problems: From the Training of the USA IMO Team by Titu Andreescu,Dorin Andrica,Zuming Feng