The MIT Libraries is completing a major upgrade to DSpace@MIT.
Starting May 5 2026, DSpace will remain functional, viewable, searchable, and downloadable, however, you will not be able to edit existing collections or add new material.
We are aiming to have full functionality restored by May 18, 2026, but intermittent service interruptions may occur.
Please email dspace-lib@mit.edu with any questions.
Thank you for your patience as we implement this important upgrade.
18.785 Number Theory I, Fall 2016
| dc.contributor.author | Sutherland, Andrew | |
| dc.coverage.temporal | Fall 2016 | |
| dc.date.accessioned | 2018-04-02T07:41:59Z | |
| dc.date.available | 2018-04-02T07:41:59Z | |
| dc.date.issued | 2016-12 | |
| dc.identifier | 18.785-Fall2016 | |
| dc.identifier.other | 18.785 | |
| dc.identifier.other | IMSCP-MD5-a5e45ed4b65d68feb1525de2fdabe7d5 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/114496 | |
| 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 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. | 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 | Haar measures | 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.title | 18.785 Number Theory I, Fall 2016 | 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.subject.cip | 270102 | en |
| dc.date.updated | 2018-04-02T07:41:59Z |