ENGLISH

Algebraic Curves over Finite Fields

By Carlos Moreno

Book information

Publisher
Cambridge University Press
Year
1991
ISBN
052134252X, 9780521342520
Language
english
Format
PDF
Filesize
9 MB (9734287 bytes)
Series
Cambridge Tracts in Mathematics, 97
Pages
254\257
Orientation
yes
Scanned
yes
Time added
2015-02-05 01:26:10

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.

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