18.785 Analytic Number Theory, Spring 2007
This course is an introduction to analytic number theory, including the use of zeta functions and L-functions to prove distribution results concerning prime numbers (e.g., the prime number theorem in arithmetic progressions).
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| Language: | en-US |
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2007
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| Online Access: | http://hdl.handle.net/1721.1/101679 |
| _version_ | 1811096452008509440 |
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| author | Kedlaya, Kiran |
| author_facet | Kedlaya, Kiran |
| author_sort | Kedlaya, Kiran |
| collection | MIT |
| description | This course is an introduction to analytic number theory, including the use of zeta functions and L-functions to prove distribution results concerning prime numbers (e.g., the prime number theorem in arithmetic progressions). |
| first_indexed | 2024-09-23T16:43:53Z |
| id | mit-1721.1/101679 |
| institution | Massachusetts Institute of Technology |
| language | en-US |
| last_indexed | 2024-09-23T16:43:53Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | mit-1721.1/1016792019-09-12T09:41:35Z 18.785 Analytic Number Theory, Spring 2007 Analytic Number Theory Kedlaya, Kiran analytic number theory Riemann zeta function L-functions prime number theorem Dirichlet's theorem Riemann Hypothesis Sieving methods Linnik Linnik's large sieve Selberg Selberg's sieve distribution of prime numbers This course is an introduction to analytic number theory, including the use of zeta functions and L-functions to prove distribution results concerning prime numbers (e.g., the prime number theorem in arithmetic progressions). 2007-06 18.785-Spring2007 local: 18.785 local: IMSCP-MD5-62d5718e7d0ad501c85097b1db2c94ea http://hdl.handle.net/1721.1/101679 en-US Usage Restrictions: This site (c) Massachusetts Institute of Technology 2016. 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. Usage Restrictions: Attribution-NonCommercial-ShareAlike 3.0 Unported http://creativecommons.org/licenses/by-nc-sa/3.0/ text/html Spring 2007 |
| spellingShingle | analytic number theory Riemann zeta function L-functions prime number theorem Dirichlet's theorem Riemann Hypothesis Sieving methods Linnik Linnik's large sieve Selberg Selberg's sieve distribution of prime numbers Kedlaya, Kiran 18.785 Analytic Number Theory, Spring 2007 |
| title | 18.785 Analytic Number Theory, Spring 2007 |
| title_full | 18.785 Analytic Number Theory, Spring 2007 |
| title_fullStr | 18.785 Analytic Number Theory, Spring 2007 |
| title_full_unstemmed | 18.785 Analytic Number Theory, Spring 2007 |
| title_short | 18.785 Analytic Number Theory, Spring 2007 |
| title_sort | 18 785 analytic number theory spring 2007 |
| topic | analytic number theory Riemann zeta function L-functions prime number theorem Dirichlet's theorem Riemann Hypothesis Sieving methods Linnik Linnik's large sieve Selberg Selberg's sieve distribution of prime numbers |
| url | http://hdl.handle.net/1721.1/101679 |
| work_keys_str_mv | AT kedlayakiran 18785analyticnumbertheoryspring2007 AT kedlayakiran analyticnumbertheory |