Algebraic Curves over Finite Fields (Cambridge Tracts in Mathematics, Series Number 97) - Softcover

Moreno, Carlos

Softcover

ISBN 10: 052145901X ISBN 13: 9780521459013

Publisher: Cambridge University Press, 1994

Synopsis

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.

About this title

Book Description

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 are developed in this text. Electrical engineers as well as mathematics students will find the material of interest.

About the Author

Moreno is Professor of Mathematics, Baruch College, City University of New York.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1994
• ISBN 10: 052145901X
• ISBN 13: 9780521459013
• Binding: Paperback
• Language: English
• Number of pages: 260