Nicolás Sirolli
Published 2012-08-20, updated 2014-05-19Version 3
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 Tornar\'ia, and is such that the Fourier coefficients of the preimages constructed can be computed explicitly.
Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for $GL_m(\mathbb Z)$
On sums of Fourier coefficients of cusp forms
On Products of Fourier Coefficients of Cusp Forms
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