000			01489nam a22002057a 4500
999			_c64622 _d64622
008			200211b2019 ||||| |||| 00| 0 eng d
020			_a9781108732185
082			_a516.352 MOR-C
100			_aMoreno, Carlos J.
245			_aAlgebraic curves over finite fiedls / _cCarlos J. Moreno
250			_aSouth Asian ed.,
260			_aIndia _bCambridge University Press _c2019
300			_a246 p.
365			_aINR _b595.00
440			_aCambridge tracts in mathematics, 97.
500			_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 Riemann 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			_aAlgebraic fields
650			_aCurves, Algebraic
650			_aFunctions, Zeta