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97 Algebraic Curves Over Finite Fields
Contributor(s): Moreno, Carlos (Author)

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ISBN: 052145901X     ISBN-13: 9780521459013
Publisher: Cambridge University Press
OUR PRICE: $71.24  

Binding Type: Paperback
Published: October 1993
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Annotation: 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.

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Additional Information
BISAC Categories:
- Mathematics | Geometry - Algebraic
- Mathematics | Algebra - General
- Mathematics | Topology - General
Dewey: 516.352
Series: Cambridge Tracts in Mathematics (Paperback)
Physical Information: 0.59" H x 6" W x 8.96" L (0.82 lbs) 260 pages
Features: Bibliography, Illustrated, Index, Table of Contents
 
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