18.785 Number Theory I, Fall 2016

18.785 Number Theory I, Fall 2016

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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 the...

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Bibliographic Details
Main Author: Sutherland, Andrew
Language:en-US
Published: 2018
Subjects:
Absolute values
discrete valuations
localization
Dedekind domains
Etale algebras
Dedekind extensions
Ideal Norm
Dedekind-Kummer Theorem
Galois extensions
Frobenius
Artin map
complete fields
Valuation rings
Hensel's lemmas
Krasner's lemma
Haar measures
Minkowski bound
Dirichlet
Unit theorem
Riemann
Zeta function
Kronecker
Weber
Ray Class
Ring of Adeles
Idele group
Chebotarev density theorem
270102
Online Access:http://hdl.handle.net/1721.1/114496
Description
Summary: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.

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