18.785 Number Theory I, Fall 2015
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18-785-fall-2015/contents/index.htm
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33.21 KB
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Author(s)
Sutherland, Andrew
Alternative Title
Number Theory I
Date Issued
December 2015
Abstract
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.
Subjects
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
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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