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On Hilbert and quaternionic cusp forms

Published online by Cambridge University Press:  12 July 2007

A. Arenas
A. Arenas
Affiliation:
Departament d'Àlgebra i Geometria, Facultat de Matemátiques, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain (angelaarenas@ub.edu)
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Abstract

The aim of this paper is to determine in a natural manner the subspace of the space of Hilbert modular newforms of level n which correspond to eigenforms of an appropriate quaternion algebra, in the sense of having the same eigenvalues with respect to the corresponding Hecke operators. This study may be seen as a particular case of the Jacquet–Langlands correspondence.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 136 , Issue 1 , February 2006 , pp. 1 - 6
Copyright
Copyright © Royal Society of Edinburgh 2006

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