Abstract
In this paper, we bound the square moment of the linear form in the Fourier coefficients of Hilbert modular forms by means of Poincaré series, and obtain sharp estimate on the critical line for the fourth moment of L-functions associated with Hilbert cusp forms which are primitive Hecke eigenforms.
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Luo, W. Poincaré Series and Hilbert Modular Forms. The Ramanujan Journal 7, 129–140 (2003). https://doi.org/10.1023/A:1026286826783
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DOI: https://doi.org/10.1023/A:1026286826783