18.785 Number Theory I, Fall 2015
Number Theory I
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This is the first semester of a one year graduate course in number theory covering standard topics in algebraic and analytic number theory. At various points in the course, we will make reference to material from other branches of mathematics, including topology, complex analysis, representation theory, and algebraic geometry.
number theory, Dedekind domains, decomposition of prime ideals, local field, ideal class groups, Dirichlet's unit theorm, ring of adeles, group of ideles, zeta functions, L-functions, Chebotarev density theorem, Sato-Tate theorem
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