18.785 Number Theory I, Fall 2016
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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| Format: | Learning Object |
| Language: | en-US |
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2018
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| Online Access: | http://hdl.handle.net/1721.1/114496 |
| _version_ | 1826210913203519488 |
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| author | Sutherland, Andrew |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Sutherland, Andrew |
| author_sort | Sutherland, Andrew |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T14:57:46Z |
| format | Learning Object |
| id | mit-1721.1/114496 |
| institution | Massachusetts Institute of Technology |
| language | en-US |
| last_indexed | 2025-03-10T12:40:44Z |
| publishDate | 2018 |
| record_format | dspace |
| spelling | mit-1721.1/1144962025-02-24T14:57:35Z 18.785 Number Theory I, Fall 2016 Number Theory I Sutherland, Andrew Massachusetts Institute of Technology. Department of Mathematics 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 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. 2018-04-02T07:41:59Z 2018-04-02T07:41:59Z 2016-12 2018-04-02T07:41:59Z Learning Object 18.785-Fall2016 18.785 IMSCP-MD5-a5e45ed4b65d68feb1525de2fdabe7d5 http://hdl.handle.net/1721.1/114496 en-US This site (c) Massachusetts Institute of Technology 2018. Content within individual courses is (c) by the individual authors unless otherwise noted. The Massachusetts Institute of Technology is providing this Work (as defined below) under the terms of this Creative Commons public license ("CCPL" or "license") unless otherwise noted. The Work is protected by copyright and/or other applicable law. Any use of the work other than as authorized under this license is prohibited. By exercising any of the rights to the Work provided here, You (as defined below) accept and agree to be bound by the terms of this license. The Licensor, the Massachusetts Institute of Technology, grants You the rights contained here in consideration of Your acceptance of such terms and conditions. Attribution-NonCommercial-ShareAlike 3.0 Unported http://creativecommons.org/licenses/by-nc-sa/3.0/ text/html Fall 2016 |
| spellingShingle | 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 Sutherland, Andrew 18.785 Number Theory I, Fall 2016 |
| title | 18.785 Number Theory I, Fall 2016 |
| title_full | 18.785 Number Theory I, Fall 2016 |
| title_fullStr | 18.785 Number Theory I, Fall 2016 |
| title_full_unstemmed | 18.785 Number Theory I, Fall 2016 |
| title_short | 18.785 Number Theory I, Fall 2016 |
| title_sort | 18 785 number theory i fall 2016 |
| topic | 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 |
| url | http://hdl.handle.net/1721.1/114496 |
| work_keys_str_mv | AT sutherlandandrew 18785numbertheoryifall2016 AT sutherlandandrew numbertheoryi |