On the arithmetic of Siegel-Hilbert cuspforms: Petersson inner products and Fourier coefficients.
Inventiones mathematicae, Tome 107 (1992) no. 1, pp. 453-482.

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Mots-clés : algebraicity, Hilbert-Siegel cusp forms, equivariance property of Petersson inner products, Fourier coefficients, Hecke eigenfunctions, Eisenstein series
@article{IM_1992__107_1_143975,
     author = {Paul B. Garrett},
     title = {On the arithmetic of {Siegel-Hilbert} cuspforms: {Petersson} inner products and {Fourier} coefficients.},
     journal = {Inventiones mathematicae},
     pages = {453--482},
     publisher = {mathdoc},
     volume = {107},
     number = {1},
     year = {1992},
     zbl = {0769.11024},
     url = {http://geodesic.mathdoc.fr/item/IM_1992__107_1_143975/}
}
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Paul B. Garrett. On the arithmetic of Siegel-Hilbert cuspforms: Petersson inner products and Fourier coefficients.. Inventiones mathematicae, Tome 107 (1992) no. 1, pp. 453-482. http://geodesic.mathdoc.fr/item/IM_1992__107_1_143975/