97 Algebraic Curves Over Finite Fields (Cambridge Tracts in Mathematics #97) (Paperback)

97 Algebraic Curves Over Finite Fields (Cambridge Tracts in Mathematics #97) By Carlos Moreno Cover Image
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Description


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.


Product Details
ISBN: 9780521459013
ISBN-10: 052145901X
Publisher: Cambridge University Press
Publication Date: October 14th, 1993
Pages: 260
Language: English
Series: Cambridge Tracts in Mathematics