Berger, Tobias and Harcos, Gergely
(2007)
*Ell-adic Representations Associated to Modular Forms over Imaginary Quadratic Fields.*
International Mathematics Research Notices, 2007.
rnm113.
ISSN 1073-7928 (print), 1687-0247 (online)

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Official URL: http://dx.doi.org/10.1093/imrn/rnm113

## Abstract

Let p be a regular algebraic cuspidal automorphic representation of GL(2) over an imaginary quadratic number field K, and let l be a prime number. Assuming the central character of p is invariant under the nontrivial automorphism of K, it is shown that there is a continuous irreducible l-adic representation rho of Gal((K) over bar /K) such that L(s, rho(v)) = L(s, pi(v)) whenever v is a prime of K outside an explicit finite set.

Item Type: | Article |
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Subjects: | Q Science / termĂ©szettudomĂˇny > QA Mathematics / matematika |

Depositing User: | Erika Bilicsi |

Date Deposited: | 25 Feb 2013 08:35 |

Last Modified: | 25 Feb 2013 08:35 |

URI: | http://real.mtak.hu/id/eprint/4275 |

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