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A Panorama of Number Theory or The View from Baker's Garden /
This book represents the highlights of a conference hosted at ETH Zurich. It will appeal to a broad spectrum of number theorists. However, it is also for research students interested in the state of number theory at the start of the 21st century and in possible developments for the future.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2002.
|
| Colección: | Cambridge books online.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Ma 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn776979059 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
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| 008 | 090505s2002 enk o 001 0 eng d | ||
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| 020 | |a 9780511542961 |q (ebook) | ||
| 020 | |a 0511542968 |q (ebook) | ||
| 020 | |a 9780521807999 |q (hardback) | ||
| 020 | |a 0521807999 |q (hardback) | ||
| 020 | |a 9780511072369 | ||
| 020 | |a 0511072368 | ||
| 029 | 1 | |a AU@ |b 000060069468 | |
| 029 | 1 | |a DEBBG |b BV044079237 | |
| 029 | 1 | |a DEBSZ |b 379291207 | |
| 035 | |a (OCoLC)776979059 | ||
| 050 | 4 | |a QA241 .P28 2002eb | |
| 082 | 0 | 4 | |a 512.7 |2 21 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Wüstholz, Gisbert. | |
| 245 | 1 | 2 | |a A Panorama of Number Theory or The View from Baker's Garden / |c edited by Gisbert Wüstholz. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2002. | ||
| 300 | |a 1 online resource (372 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 500 | |a Title from publishers bibliographic system (viewed 22 Dec 2011). | ||
| 500 | |a Available through Cambridge books online SHEDL trial from 9th January 2012 to June 2012. | ||
| 520 | |a This book represents the highlights of a conference hosted at ETH Zurich. It will appeal to a broad spectrum of number theorists. However, it is also for research students interested in the state of number theory at the start of the 21st century and in possible developments for the future. | ||
| 505 | 0 | |a Cover -- Half-title -- Title -- Copyright -- Contents -- Contributors -- Introduction -- 1 One Century of Logarithmic Forms -- 1 Introduction -- 2 Hilbert's seventh problem -- 3 Elliptic theory -- 4 Group varieties -- 5 The quantitative theory -- 6 The abc-conjecture -- Bibliography -- 2 Report on p-adic Logarithmic Forms -- 1 Historical introduction -- 2 A successful strategy -- 3 New developments -- 4 The application to the abc-conjecture -- References -- 3 Recent Progress on Linear Forms in Elliptic Logarithms -- 1 Introduction -- 2 New result -- 3 Key estimate for the refinement. | |
| 505 | 8 | |a 2.5 Elliptic equations -- References -- 5 Baker's Method and Modular Curves -- Abstract -- 1 Introduction -- 2 Heights -- 3 Baker's method -- Baker's theorem -- Functional units -- Coverings -- 4 Modular curves -- Preliminaries -- Effective Siegel theorem for modular curves -- Proof of Theorem 10 -- Consequences for elliptic curves -- References -- 6 Application of the André-Oort Conjecture to some Questions in Transcendence -- Abstract -- 1 Some problems on hypergeometric functions -- 2 Fuchsian triangle groups -- 3 Solving Problem 4 solves Problem 1. | |
| 505 | 8 | |a 4 The André-Oort Conjecture for the Siegel moduli space -- References -- 7 Regular Dessins, Endomorphisms of Jacobians, and Transcendence -- 1 Triangle groups and dessins -- 2 Integration on regular dessins -- 3 Shimura families and the Jacobi locus -- References -- 8 Maass Cusp Forms with Integer Coefficients -- Remarks -- Bibliography -- 9 Modular Forms, Elliptic Curves and the ABC-Conjecture -- 1 The ABC-Conjecture -- 2 Applications of the ABC-Conjecture -- 3 Elliptic curves over Q (Global Minimal Models) -- 4 Conjectures which are equivalent to ABC -- 5 Large Tate-Shafarevich groups. | |
| 505 | 8 | |a 6 Modular symbols -- References -- 10 On the Algebraic Independence of Numbers -- Abstract -- 1 E-functions -- 2 Mahler functions -- 3 Theorems about functions with addition properties -- 4 Modular forms -- 5 Hypergeometric functions -- 6 Values of theta functions -- References -- 11 Ideal Lattices -- Introduction -- 1 Definitions, notation and basic facts -- 2 Integral ideal lattices -- Quadratic fields -- Cyclotomic fields of prime power conductor -- Examples over cyclotomic fields -- 3 Generalization and examples -- Knot theory. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Number theory |v Congresses. | |
| 650 | 6 | |a Théorie des nombres |v Congrès. | |
| 650 | 7 | |a Number theory |2 fast | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 758 | |i has work: |a A panorama in number theory, or, The view from Baker's garden (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFwJ39BdJdQfVQmyGmy4xC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |z 9780521807999 |
| 830 | 0 | |a Cambridge books online. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=217942 |z Texto completo |
| 938 | |a EBL - Ebook Library |b EBLB |n EBL217942 | ||
| 994 | |a 92 |b IZTAP | ||