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Algebraic Curves over Finite Fields (Electronic book text)
Algebraic Curves over Finite Fields (Electronic book text): Carlos Moreno
Algebraic Curves over Finite Fields (Electronic book text): Carlos Moreno

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Algebraic Curves over Finite Fields (Electronic book text)

Carlos Moreno

Series: Cambridge Tracts in Mathematics, 97

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In this tract, Professor Moreno develops the theory of algebraic curves over finite fields, their zeta and L-functions, and, for the first time, the theory of algebraic geometric Goppa codes on algebraic curves. Among the applications considered are: the problem of counting the number of solutions of equations over finite fields; Bombieri's proof of the Reimann hypothesis for function fields, with consequences for the estimation of exponential sums in one variable; Goppa's theory of error-correcting codes constructed from linear systems on algebraic curves; there is also a new proof of the TsfasmanSHVladutSHZink theorem. The prerequisites needed to follow this book are few, and it can be used for graduate courses for mathematics students. Electrical engineers who need to understand the modern developments in the theory of error-correcting codes will also benefit from studying this work.

General

Imprint: Cambridge University Press (Virtual Publishing)
Country of origin: United Kingdom
Series: Cambridge Tracts in Mathematics, 97
Release date: August 2012
Authors: Carlos Moreno
Format: Electronic book text
ISBN-13: 978-0-511-60876-6
Barcode: 9780511608766
Categories: Promotions
Books
LSN: 0-511-60876-4

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