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- W74147110 abstract "This thesis provides a self-contained introduction to elliptic curves accessibleto advanced undergraduates and graduate students in mathematics, withemphasis on the the theory of elliptic curves over finite fields.In Chapter 1, affine and projective planes are introduced. Chapter 2introduces the theory of algebraic curves and the Weierstrass Normal Formof a cubic curve is derived. In Chapter 3 we define derivations on arbitrarypolynomial rings, and prove the group law for elliptic curves. Chapter 4discusses elliptic curves over finite fields and proves some results on countingpoints." @default.
- W74147110 created "2016-06-24" @default.
- W74147110 creator A5043282930 @default.
- W74147110 date "2009-01-01" @default.
- W74147110 modified "2023-09-27" @default.
- W74147110 title "Elliptic Curves Over Finite Fields" @default.
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