Skip to main content Accessibility help
×
Home
Hostname: page-component-544b6db54f-s4m2s Total loading time: 0.192 Render date: 2021-10-19T16:56:32.178Z Has data issue: true Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "metricsAbstractViews": false, "figures": true, "newCiteModal": false, "newCitedByModal": true, "newEcommerce": true, "newUsageEvents": true }

on l-adic representations attached to modular forms II

Published online by Cambridge University Press:  18 May 2009

Kenneth A. Ribet
Affiliation:
Department of Mathematics, University of California, Berkeley California 94720, U.S.A.
Rights & Permissions[Opens in a new window]

Extract

HTML view is not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Suppose that is a newform of weight k on Г1(N). Thus f is in particular a cusp form on Г1(N), satisfying

for all n≥1. Associated with f is a Dirichlet character

such that

for all, .

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1985

References

1.Carayol, H., Sur la mauvaise réduction des courbes de Shimura, C.R. Acad. Sci. Paris Sér. I Math. 296 (1983), 557560.Google Scholar
2.Carayol, H., Sur les représentations l-adiques attachées aux formes modulaires de Hilbert, C.R. Acad. Sci. Paris Ser. I. Math. 296 (1983), 629632.Google Scholar
3.Deligne, P., Formes modulaires et représentations l-adiques, Lecture Notes in Math. 179 (1971), 139172.CrossRefGoogle Scholar
4.Deligne, P., Letter to I. Piatetski-Shapiro (1973).Google Scholar
5.Deligne, P., Formes modulaires et représentations de GL(2), Lecture Notes in Math. 349 (1973), 55105.CrossRefGoogle Scholar
6.Deligne, P., Les constantes des équations fonctionnelles des fonctions L, Lecture Notes in Math. 349 (1973), 501597.CrossRefGoogle Scholar
7.Deligne, P. and Serre, J-P., Formes modulaires de poids 1, Ann. Sci. École Norm. Sup. (4) 7 (1974), 507530.CrossRefGoogle Scholar
8.Gorenstein, D., Finite Groups (Harper and Row, 1968).Google Scholar
9.Kutzko, P., The Langlands conjecture for GL2 of a local field, Ann. of Math. (2) 112 (1980), 381412.CrossRefGoogle Scholar
10.Langlands, R. P., Modular forms and l-adic representations, Lecture Notes in Math. 349 (1973), 361500.CrossRefGoogle Scholar
11.Momose, F., On the l-adic representations attached to modular forms, J. Fac. Sci. Univ. Tokyo Sect IA Math., to appear.Google Scholar
12.Ribet, K., On l-adic representations attached to modular forms, Invent. Math. 28 (1975), 245275.CrossRefGoogle Scholar
13.Ribet, K., Galois representations attached to eigenforms with nebentypus, Lecture Notes in Math. 601 (1977), 1752.Google Scholar
14.Rogawski, J-P. and Tunnell, J., On Artin L-functions associated to Hilbert modular forms of weight one, Invent. Math. 74 (1983), 142.CrossRefGoogle Scholar
15.Serre, J-P., Congruences et formes modulaires (d'apres H. P. F. Swinnerton-Dyer), Lectures Notes in Math. 317 (1973), 319338.CrossRefGoogle Scholar
16.Serre, J-P., Proprietés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. Math. 15 (1972), 259331.CrossRefGoogle Scholar
17.Serre, J-P., Letter to J-M. Fountaine (27 05, 1979).Google Scholar
18.Swinnerton-Dyer, H. P. F., On l-adic representations and congruences for coefficients of modular forms, Lecture Notes in Math. 350 (1973), 155.CrossRefGoogle Scholar
19.Tate, J., Number theoretic background, Automorphic forms, representations and L-functions, Proc. Symp. Pure Math. 33 Part 2 (American Mathematical Society, 1979), 326.CrossRefGoogle Scholar
You have Access
54
Cited by

Send article to Kindle

To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

on l-adic representations attached to modular forms II
Available formats
×

Send article to Dropbox

To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

on l-adic representations attached to modular forms II
Available formats
×

Send article to Google Drive

To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

on l-adic representations attached to modular forms II
Available formats
×
×

Reply to: Submit a response

Please enter your response.

Your details

Please enter a valid email address.

Conflicting interests

Do you have any conflicting interests? *