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Rational Points on Curves Over Finite Fields
Language: en
Pages: 260
Authors: Harald Niederreiter
Categories: Computers
Type: BOOK - Published: 2001-06-14 - Publisher: Cambridge University Press

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Ever since the seminal work of Goppa on algebraic-geometry codes, rational points on algebraic curves over finite fields have been an important research topic f
Rational Points on Elliptic Curves
Language: en
Pages: 292
Authors: Joseph H. Silverman
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

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The theory of elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic the
Algebraic Curves over a Finite Field
Language: en
Pages: 717
Authors: J. W. P. Hirschfeld
Categories: Mathematics
Type: BOOK - Published: 2013-03-25 - Publisher: Princeton University Press

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This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental i
Rational Points on Varieties
Language: en
Pages: 358
Authors: Bjorn Poonen
Categories: Mathematics
Type: BOOK - Published: 2017-12-13 - Publisher: American Mathematical Soc.

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This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools
Algebraic Curves Over Finite Fields
Language: en
Pages: 264
Authors: Carlos Moreno
Categories: Mathematics
Type: BOOK - Published: 1993-10-14 - Publisher: Cambridge University Press

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Develops the theory of algebraic curves over finite fields, their zeta and L-functions and the theory of algebraic geometric Goppa codes.