Author： Arenas A.
Publisher： Royal Society of Edinburgh
ISSN： 1473-7124
Source： Proceedings Section A: Mathematics - Royal Society of Edinburgh, Vol.136, Iss.1, 2006-02, pp. : 1-6
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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.
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