Winter 20022003Ma 160b - Number Theory |
Click here for the course page. Course Textbook: Algebraic Number Fields, Gerald Janusz. Course Description: This is the second part of the Ma160 sequence of number theory courses. This course will generalise the material on prime factorisation in quadratic fields considered in Ma160a to the theory of primes and their factorisation in more general number fields. We will also study primes in arithmetic progressions and the Riemann Zeta function, as well as considering the theory of L-series, which was first studied by Dirichlet. We will also study some Galois theory, considering the relation between extensions of Q and finite extensions of Z/pZ. Grading Policy: There will be weekly homework worth 50% of the grade and a final exam worth 50%. Collaboration on the homework is allowed, but you must write up your solutions on your own and in your own words. No collaboration will be allowed on the final exam.
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