18.785 Number Theory I
Dedekind domains, unique factorization of ideals, splitting of primes. Lattice methods, finiteness of the class group, Dirichlet's unit theorem. Local fields, ramification, discriminants. Zeta and L-functions, analytic class number formula. Adeles and ideles. Statements of class field theory and the Chebotarev density theorem.
This class has 18.705 as a corequisite.
18.785 will be offered this semester (Fall 2017). It is instructed by A. Sutherland.
Lecture occurs 1:00 PM to 2:30 PM on Mondays and Wednesdays in 2-135.
This class counts for a total of 12 credits.
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