Opérateurs de Hecke pour \(\Gamma_ 0(N)\) et fractions continues. (Hecke operators for \(\Gamma_ 0(N)\) and continued fractions)
type: Item
instance of: scholarly article
title: Opérateurs de Hecke pour \(\Gamma_ 0(N)\) et fractions continues. (Hecke operators for \(\Gamma_ 0(N)\) and continued fractions)
zbMATH Open document ID: 0727.11020
author: Loïc Merel
publication date: 1991-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74928
review text: Nous rappelons que Manin décrit l'homologie singulière relative aux pointes de la courbe modulaire \(X_ 0(N)\) comme un quotient du groupe \({\mathbb{Z}}^{({\mathbb{P}}^ 1({\mathbb{Z}}/N{\mathbb{Z}}))}\). En s'appuyant sur des techniques de fractions continues, nous donnons une expression indépendante de N d'un relèvement de l'action des opérateurs de Hecke de \(H_ 1(X_ 0(N),...,{\mathbb{Z}})\) sur \({\mathbb{Z}}^{({\mathbb{P}}^ 1({\mathbb{Z}}/N{\mathbb{Z}}))}\).
Mathematics Subject Classification ID: 11F67
Mathematics Subject Classification ID: 11F25
Mathematics Subject Classification ID: 11F30
zbMATH DE Number: 4200296
zbMATH Keywords: modular symbols
zbMATH Keywords: Hecke operators
zbMATH Keywords: lifting
MaRDI profile type: Publication
OpenAlex ID: W2333631205
cites work: PARABOLIC POINTS AND ZETA-FUNCTIONS OF MODULAR CURVES
cites work: Some remarks on the instability flag
cites work: PERIODS OF PARABOLIC FORMS AND $ p$-ADIC HECKE SERIES
cites work: Q4402450
cites work: Q5625265
DOI: 10.5802/AIF.1264
published in: Annales de l’institut Fourier
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description: scientific article; zbMATH DE number 4200296