18.785 Number Theory I, Fall 2016

Author(s)
Sutherland, Andrew
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Alternative title
Number Theory I
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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.
Date issued
2016-12
URI
http://hdl.handle.net/1721.1/114496
Department
Massachusetts Institute of Technology. Department of Mathematics
Other identifiers
18.785-Fall2016
Other identifiers
18.785
IMSCP-MD5-a5e45ed4b65d68feb1525de2fdabe7d5
Keywords
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
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