NUMBER THEORY (M2, Cohen)

Lecture Topic : (Math Physics) NUMBER THEORY (M2, Cohen)

Prerequisites : Number Theory (M1);

Recommended Text(s) :

“A Course in Computational Algebraic Number Theory”, Graduate Texts in Mathematics (GTM) No. 138, Henri Cohen, Springer, 1993.

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Lectures and Links :

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Lecture 1  (link)

Ch.1   Fundamental Number-Theoretic Algorithms

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Lecture 2  (link)

Ch.2   Algorithms for Linear Algebra and Lattices

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Lecture 3  (link)

Ch.3   Algorithms on Polynomials

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Lecture 4 (link)

Ch.4   Algorithms for Algebraic Number Theory 1

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Lecture 5  (link)

Ch.5   Algorithms for Quadratic Fields

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Lecture 6  (link)

Ch.6   Algorithms for Algebraic Number Theory 2

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Lecture 7  (link)

Ch.7   Introduction to Elliptic Curves

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Lecture 8  (link)

Ch.8   Factoring in the Dark Ages

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Lecture 9  (link)

Ch.9   Modern Primality Tests

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Lecture 10  (link)

Ch.10   Modern Factoring Methods

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Lecture 11  (link)

Appendix A : Packages for Number Theory

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Lecture 12  (link)

Appendix B : Some Useful Tables

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