000			02167nam a22003738i 4500
001			CR9780511608766
003			UkCbUP
005			20200124160224.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090910s1990||||enk o ||1 0|eng|d
020			_a9780511608766 (ebook)
020			_z9780521342520 (hardback)
020			_z9780521459013 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA565 _b.M84 1990
082	0	0	_a516.3/52 _220
100	1		_aMoreno, Carlos J., _d1946- _eauthor.
245	1	0	_aAlgebraic curves over finite fields / _cCarlos Moreno.
264		1	_aCambridge : _bCambridge University Press, _c1990.
300			_a1 online resource (ix, 246 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge tracts in mathematics ; _v97
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aIn 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	_aCurves, Algebraic.
650		0	_aAlgebraic fields.
650		0	_aFunctions, Zeta.
776	0	8	_iPrint version: _z9780521342520
830		0	_aCambridge tracts in mathematics ; _v97.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511608766
999			_c517040 _d517038