Download E-books Algebraic Curves over Finite Fields (Cambridge Tracts in Mathematics) PDF

During this tract, Professor Moreno develops the speculation of algebraic curves over finite fields, their zeta and L-functions, and, for the 1st time, the speculation of algebraic geometric Goppa codes on algebraic curves. one of the purposes thought of are: the matter of counting the variety of suggestions of equations over finite fields; Bombieri's facts of the Reimann speculation for functionality fields, with effects for the estimation of exponential sums in a single variable; Goppa's thought of error-correcting codes made out of linear platforms on algebraic curves; there's additionally a brand new evidence of the TsfasmanSHVladutSHZink theorem. the must haves had to keep on with this publication are few, and it may be used for graduate classes for arithmetic scholars. electric engineers who have to comprehend the trendy advancements within the thought of error-correcting codes also will reap the benefits of learning this paintings.

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