Cyclotomic fields and Zeta values
Cyclotomic fields have always occupied a central place in number theory, and the so called "main conjecture" on cyclotomic fields is arguably the deepest and most beautiful theorem known about them. It is also the simplest example of a vast array of subsequent, unproven "main conjectu...
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| Auteurs principaux: | , , |
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| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2006. |
| Series: | Springer Monographs in Mathematics
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| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 16 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Cyclotomic fields and zeta values, J. Coates, R. Sujatha, 2006, Berlin, Springer, 1 vol. (X-113 p.), Springer monographs in mathematics, 3-540-33068-2 • Cyclotomic Fields and Zeta Values, Texte imprimé, 9783642069598 • Cyclotomic Fields and Zeta Values, Texte imprimé, 9783540821878 • Cyclotomic fields and zeta values, J. Coates, R. Sujatha, 2006, Berlin, Springer, 1 vol. (X-113 p.), Springer monographs in mathematics, 3-540-33068-2 |
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| 100 | 1 | |a Coates, John Henry, |d 1945-2022, |c mathématicien. | |
| 245 | 1 | 0 | |a Cyclotomic fields and Zeta values |c J. Coates, R. Sujatha. |
| 250 | |a 1st ed. 2006. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
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| 504 | |a Bibliogr. p. [111]-113 | ||
| 505 | 1 | |a Cyclotomic Fields Local Units Iwasawa Algebras and p-adic Measures Cyclotomic Units and Iwasawa's Theorem Euler Systems Main Conjecture | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Cyclotomic fields have always occupied a central place in number theory, and the so called "main conjecture" on cyclotomic fields is arguably the deepest and most beautiful theorem known about them. It is also the simplest example of a vast array of subsequent, unproven "main conjectures'' in modern arithmetic geometry involving the arithmetic behaviour of motives over p-adic Lie extensions of number fields. These main conjectures are concerned with what one might loosely call the exact formulae of number theory which conjecturally link the special values of zeta and L-functions to purely arithmetic expressions (the most celebrated example being the conjecture of Birch and Swinnerton-Dyer for elliptic curves). Written by two leading workers in the field, this short and elegant book presents in full detail the simplest proof of the "main conjecture'' for cyclotomic fields . Its motivation stems not only from the inherent beauty of the subject, but also from the wider arithmetic interest of these questions. The masterly exposition is intended to be accessible to both graduate students and non-experts in Iwasawa theory | ||
| 650 | |a Corps algébriques | ||
| 650 | |a Cyclotomie | ||
| 650 | |a Fonctions zêta | ||
| 700 | 1 | |a Sujatha, Ramdorai. |4 aut | |
| 700 | 1 | |a Sujatha, R. |4 aut | |
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| 776 | 0 | |t Cyclotomic Fields and Zeta Values |b Texte imprimé |z 9783642069598 | |
| 776 | 0 | |t Cyclotomic Fields and Zeta Values |b Texte imprimé |z 9783540821878 | |
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