Advanced analytic number theory. Part 1, Ramification theoretic methods /
These notes are intended as an introduction to those aspects of analytic number theory which depend on and have applications to the algebraic numbers. As is well known the central problem of the theory general algebraic formulation of ·the following distribution results: number theorem, Dirichlet�...
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| Format: | Electronic eBook |
| Language: | English |
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Providence, Rhode Island :
American Mathematical Society,
1983
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| Series: | Contemporary mathematics (American Mathematical Society) ;
15. |
| Subjects: | |
| Local Note: | ProQuest Ebook Central |
MARC
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| 100 | 1 | |a Moreno, Carlos J., |d 1946- |1 https://id.oclc.org/worldcat/entity/E39PBJrChMg489G8PQFCtw3vpP | |
| 245 | 1 | 0 | |a Advanced analytic number theory. |n Part 1, |p Ramification theoretic methods / |c Carlos J. Moreno. |
| 246 | 3 | 0 | |a Ramification theoretic methods |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c [1983] | |
| 264 | 4 | |c ©1983 | |
| 300 | |a 1 online resource (viii, 190 pages) : |b illustrations | ||
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| 490 | 1 | |a Contemporary mathematics, |x 0271-4132 ; |v 15 | |
| 504 | |a Includes bibliographical references (pages 185-188), and index. | ||
| 505 | 0 | 0 | |t Introduction -- |t Galois theory of infinite extensions -- |t Projective limits -- |t Elementary theory of ℓ-adic integration -- |t Ramification theory -- |t Multiplicative versus additive reduction -- |t Ramification of Abelian extensions -- |t The Weil groups of a local field -- |t Shafarevitch's theorem -- |t The Herbrand distribution. |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 520 | |a These notes are intended as an introduction to those aspects of analytic number theory which depend on and have applications to the algebraic numbers. As is well known the central problem of the theory general algebraic formulation of ·the following distribution results: number theorem, Dirichlet's theorem on primes in arithmetic progressions, Cebotarev's density theorem on the distribution of Frobenius conjugacy classes in Galois groups, Hecke's density theorem on the distribution of the arguments of quasi-characters of idele class groups, Sato-Tate conjectural densities for the value distribution of the traces of Frobenius elements, strong multiplicity one theorem for automorphic representations of the general linear group, etc. These are all variants of a specific fundamental distribution problem. The principle aim of these notes is to develop these formulas and to give some of their applications. | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
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| 588 | 0 | |a Online resource; title from PDF title page (ebrary, viewed May 23, 2014). | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Number theory. | |
| 650 | 0 | |a Algebraic fields. | |
| 655 | 7 | |a Instructional and educational works. |2 lcgft | |
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| 776 | 0 | 8 | |i Print version: |a Moreno, Carlos J., 1946- |t Advanced Analytic Number Theory Pt. 1 : Ramification Theoretic Methods. |d Providence : American Mathematical Society, ©1983 |z 9780821850152 |
| 830 | 0 | |a Contemporary mathematics (American Mathematical Society) ; |v 15. | |
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