Iwasawa theory and p-adic L-functions over ${\mathbb Z}_{p}^{2}$-extensions
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Publication:2931751
DOI10.1142/S1793042114500699zbMath1314.11066arXiv1108.5954OpenAlexW3124470682WikidataQ115288123 ScholiaQ115288123MaRDI QIDQ2931751
Sarah Livia Zerbes, David Loeffler
Publication date: 27 November 2014
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1108.5954
Galois representations (11F80) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23) Zeta functions and (L)-functions (11S40)
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Cites Work
- Critical slope \(p\)-adic \(L\)-functions of CM modular forms
- Coleman maps and the \(p\)-adic regulator
- Théorie d'Iwasawa p-adique locale et globale. (Local and global p-adic Iwasawa theory)
- A \(p\)-adic measure attached to the zeta functions associated with two elliptic modular forms. II
- Division values in local fields
- On two variable p-adic L-functions
- Iwasawa theory and \(p\)-adic heights
- Iwasawa theory of de Rham representations of a local field
- Iwasawa theory of \(p\)-adic representations over a local field
- Note on Nakayama's lemma for compact \(\Lambda\)-modules
- On Iwasawa theory of crystalline representations
- Banach space representations and Iwasawa theory
- \(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms
- The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication
- Wach modules and Iwasawa theory for modular forms
- CONSTRUCTION OF SELF-DUAL INTEGRAL NORMAL BASES IN ABELIAN EXTENSIONS OF FINITE AND LOCAL FIELDS
- Fonctions L p -Adiques Associees a Une Forme Modulaire Et a Un Corps Quadratique Imaginaire
- The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".
- Théorie d’Iwasawa des représentations 𝑝-adiques d’un corps local
- Limites de représentations cristallines
- Représentations $p$-adiques potentiellement cristallines
- Arithmétique des courbes elliptiques à réduction supersingulière enp
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