Geodesic
Explicit duality formulas for symplectic and orthogonal Hecke operators on theta-series of positive quadratic forms
Sbornik. Mathematics, Tome 58 (1987) no. 2, pp. 417-434 
V. G. Zhuravlev. Explicit duality formulas for symplectic and orthogonal Hecke operators on theta-series of positive quadratic forms. Sbornik. Mathematics, Tome 58 (1987) no. 2, pp. 417-434. http://geodesic.mathdoc.fr/item/SM_1987_58_2_a7/
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     author = {V. G. Zhuravlev},
     title = {Explicit duality formulas for symplectic and orthogonal {Hecke} operators on theta-series of positive quadratic forms},
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     volume = {58},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1987_58_2_a7/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The Rallis mapping is used to obtain commutation formulas for the Hecke operators of the symplectic and orthogonal groups on the space of theta-series. These formulas are applied to the multiplicative arithmetic of representations of quadratic forms by forms. Bibliography: 15 titles.

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