| dc.contributor.author | Sutherland, Andrew | |
| dc.coverage.temporal | Fall 2017 | |
| dc.date.accessioned | 2020-05-04T12:49:51Z | |
| dc.date.available | 2020-05-04T12:49:51Z | |
| dc.date.issued | 2017-12 | |
| dc.identifier | 18.785-Fall2017 | |
| dc.identifier.other | 18.785 | |
| dc.identifier.other | IMSCP-MD5-91ae5f50bb1485caa22302764542ebf6 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/124987 | |
| dc.description.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. | en |
| dc.language.iso | en-US | |
| dc.rights | This site (c) Massachusetts Institute of Technology 2020. 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. | en |
| dc.rights | Attribution-NonCommercial-ShareAlike 3.0 Unported | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/ | * |
| dc.subject | Absolute values | en |
| dc.subject | Discrete valuations | en |
| dc.subject | localization | en |
| dc.subject | Dedekind domains | en |
| dc.subject | Etale algebras | en |
| dc.subject | Dedekind extensions | en |
| dc.subject | Ideal Norm | en |
| dc.subject | Dedekind-Kummer Theorem | en |
| dc.subject | Galois extensions | en |
| dc.subject | Frobenius | en |
| dc.subject | Artin map | en |
| dc.subject | complete fields | en |
| dc.subject | Valuation rings | en |
| dc.subject | Hensel's lemmas | en |
| dc.subject | Krasner's lemma | en |
| dc.subject | Minkowski bound | en |
| dc.subject | Dirichlet | en |
| dc.subject | Unit theorem | en |
| dc.subject | Riemann | en |
| dc.subject | Zeta function | en |
| dc.subject | Kronecker | en |
| dc.subject | Weber | en |
| dc.subject | Ray Class | en |
| dc.subject | Ring of Adeles | en |
| dc.subject | Idele group | en |
| dc.subject | Chebotarev density theorem | en |
| dc.subject | Global fields | en |
| dc.subject | Tate cohomology | en |
| dc.subject | Artin reciprocity | en |
| dc.title | 18.785 Number Theory I, Fall 2017 | en |
| dc.title.alternative | Number Theory I | en |
| dc.type | Learning Object | |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.audience.educationlevel | Graduate | |
| dc.date.updated | 2020-05-04T12:50:00Z | |
