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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
97 Algebraic Curves Over Finite Fields

97 Algebraic Curves Over Finite Fields

Moreno, Carlos

Paperback

Series: Cambridge Tracts in Mathematics, Book 97

AlgebraGeneral MathematicsGeometry

ISBN10: 052145901X
ISBN13: 9780521459013
Publisher: Cambridge University Press
Published: Oct 14 1993
Pages: 260
Weight: 0.82
Height: 0.59 Width: 6.00 Depth: 8.96
Language: English
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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