18.785 Number Theory I, Fall 2015
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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2017
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| Online Access: | http://hdl.handle.net/1721.1/109488 |
| _version_ | 1826198191921430528 |
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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 | 2024-09-23T11:00:43Z |
| format | Learning Object |
| id | mit-1721.1/109488 |
| institution | Massachusetts Institute of Technology |
| language | en-US |
| last_indexed | 2025-03-10T09:18:32Z |
| publishDate | 2017 |
| record_format | dspace |
| spelling | mit-1721.1/1094882025-02-24T15:06:52Z 18.785 Number Theory I, Fall 2015 Number Theory I Sutherland, Andrew Massachusetts Institute of Technology. Department of Mathematics 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 270101 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. 2017-06-01T06:38:06Z 2017-06-01T06:38:06Z 2015-12 2017-06-01T06:38:07Z Learning Object 18.785-Fall2015 18.785 IMSCP-MD5-ea6076f65016c9415b67d7da14f0fb39 http://hdl.handle.net/1721.1/109488 en-US This site (c) Massachusetts Institute of Technology 2017. 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 2015 |
| spellingShingle | 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 270101 Sutherland, Andrew 18.785 Number Theory I, Fall 2015 |
| title | 18.785 Number Theory I, Fall 2015 |
| title_full | 18.785 Number Theory I, Fall 2015 |
| title_fullStr | 18.785 Number Theory I, Fall 2015 |
| title_full_unstemmed | 18.785 Number Theory I, Fall 2015 |
| title_short | 18.785 Number Theory I, Fall 2015 |
| title_sort | 18 785 number theory i fall 2015 |
| topic | 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 270101 |
| url | http://hdl.handle.net/1721.1/109488 |
| work_keys_str_mv | AT sutherlandandrew 18785numbertheoryifall2015 AT sutherlandandrew numbertheoryi |