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arXiv · 1208.4011

Preimages for the Shimura map on Hilbert modular forms

Nicolás Sirolli
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Abstract

In this article we give a method to construct preimages for the Shimura correspondence on Hilbert modular forms of odd and square-free level. The method relies in the ideas presented for the rational case by Pacetti and Tornaría, and is such that the Fourier coefficients of the preimages constructed can be computed explicitly.

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Nicolás Sirolli. 2014-05-19. Preimages for the Shimura map on Hilbert modular forms. https://doi.org/10.1016/j.jnt.2014.05.006

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