Sur les formules asymptotiques le long des Zl-extensions
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | JAULENT, Jean-François | |
| hal.structure.identifier | Laboratoire de Mathématiques de Besançon (UMR 6623) [LMB] | |
| dc.contributor.author | MAIRE, Christian | |
| hal.structure.identifier | Laboratoire de Mathématiques de Besançon (UMR 6623) [LMB] | |
| dc.contributor.author | PERBET, Guillaume | |
| dc.date.accessioned | 2024-04-04T02:26:35Z | |
| dc.date.available | 2024-04-04T02:26:35Z | |
| dc.date.created | 2011-07-18 | |
| dc.date.issued | 2013 | |
| dc.identifier.issn | 2195-4755 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189960 | |
| dc.description.abstractEn | In this paper we clarify some asymptotic formulas given by Jaulent-Maire, which relate orders of finite quotients of S-infinitesimal T-classes l-groups $Cl^S_T(K_n)$ associated to finite layers $K_n$ of a Zl-extension $K_\infty/K$ over a number field to the structural invariants of the Iwasawa module $X^S_T:=\varprojlim \Cl^S_T(K_n)$. We especially show that the lambda invariant $\tilde\lambda^S_T$ of those quotients sensibly differs from the structural invariant $\lambda^S_T$, and we illustrate this fact with explicit examples, where it can be made as large as desired, positive or negative. | |
| dc.description.sponsorship | Algorithmique des fonctions L - ANR-07-BLAN-0248 | |
| dc.language.iso | fr | |
| dc.publisher | Springer | |
| dc.subject.en | Iwasawa theory | |
| dc.subject.en | class groups | |
| dc.subject.en | asymptotic formulas | |
| dc.title | Sur les formules asymptotiques le long des Zl-extensions | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1110.3595 | |
| bordeaux.journal | Annales mathématiques du Québec | |
| bordeaux.page | 63-78 | |
| bordeaux.volume | 37 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00632747 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00632747v1 | |
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