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| | Course Listing For MATH |
 | | Applications include planning of postal delivery routes, placement of cable television lines, United States Congressional apportionment, and dispute resolution. |
 | | The core material of algebraic number theory: number fields, rings of integers, discriminants, ideal class groups, Dirichlet's unit theorem, splitting of primes; p-adic fields, Hensel's lemma, adeles and ideles, the strong approximation theorem. |
 | | A continuation of Algebraic and Analytic Number Theory I, introducing analytic methods: the Riemann Zeta function, its analytic continuation and functional equation, the Prime number theorem; sieves, the Bombieri-Vinogradov theorem, the Chebotarev density theorem. |
| bulletin.uga.edu /bulletin/courses/descript/MATH.html (4517 words) |
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