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Algebraic curves over finite fields

Moreno, Carlos J., (1946-)

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Algebraic curves over finite fields

Record Type:	Electronic resources : Monograph/item
Title/Author:	Algebraic curves over finite fields/ Carlos Moreno.
Author:	Moreno, Carlos J.,
Published:	Cambridge :Cambridge University Press, : 1990.,
Description:	ix, 246 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Curves, Algebraic. -
Online resource:	https://doi.org/10.1017/CBO9780511608766
ISBN:	9780511608766

Algebraic curves over finite fields
Moreno, Carlos J.,1946-

Algebraic curves over finite fields[electronic resource] /Carlos Moreno. - Cambridge :Cambridge University Press,1990. - ix, 246 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;97. - Cambridge tracts in mathematics ;97..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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. Amongst 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 Tsfasman-Vladut-Zink 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.

ISBN: 9780511608766Subjects--Topical Terms:

540522
Curves, Algebraic.

LC Class. No.: QA565 / .M84 1990

Dewey Class. No.: 516.352

Algebraic curves over finite fields
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020 $a 9780521459013 $q (paperback)
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100 1 $a Moreno, Carlos J., $d 1946- $3 606069
245 1 0 $a Algebraic curves over finite fields $h [electronic resource] / $c Carlos Moreno.
260 $a Cambridge : $b Cambridge University Press, $c 1990.
300 $a ix, 246 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 97
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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. Amongst 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 Tsfasman-Vladut-Zink 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.
650 0 $a Curves, Algebraic. $3 540522
650 0 $a Algebraic fields. $3 532032
650 0 $a Functions, Zeta. $3 558393
830 0 $a Cambridge tracts in mathematics ; $v 97. $3 3470573
856 4 0 $u https://doi.org/10.1017/CBO9780511608766