Geodesic
A generalization of Gauss sums and its applications to Siegel modular forms and L-functions associated with the vector space of quadratic forms.
Journal für die reine und angewandte Mathematik, Tome 416 (1991), pp. 91-142.

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Mots-clés : finite field, quadratic character, matrix-valued Gauss sums, symmetric matrices, twisting operators, Siegel modular forms, functional equations of L-functions 
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     author = {Hiroshi Saito},
     title = {A generalization of {Gauss} sums and its applications to {Siegel} modular forms and {L-functions} associated with the vector space of quadratic forms.},
     journal = {Journal f\"ur die reine und angewandte Mathematik},
     pages = {91--142},
     publisher = {mathdoc},
     volume = {416},
     year = {1991},
     zbl = {0717.11053},
     url = {http://geodesic.mathdoc.fr/item/JRAM_1991__416_153317/}
}
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Hiroshi Saito. A generalization of Gauss sums and its applications to Siegel modular forms and L-functions associated with the vector space of quadratic forms.. Journal für die reine und angewandte Mathematik, Tome 416 (1991), pp. 91-142. http://geodesic.mathdoc.fr/item/JRAM_1991__416_153317/