Geodesic
Multiplicative properties of the Fourier coefficients of Siegel modular forms for principal congruence subgroups of the group $\operatorname{Sp}(n,\mathbf Z)$
Sbornik. Mathematics, Tome 60 (1988) no. 1, pp. 237-254 
A. Yu. Nenashev. Multiplicative properties of the Fourier coefficients of Siegel modular forms for principal congruence subgroups of the group $\operatorname{Sp}(n,\mathbf Z)$. Sbornik. Mathematics, Tome 60 (1988) no. 1, pp. 237-254. http://geodesic.mathdoc.fr/item/SM_1988_60_1_a13/
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     title = {Multiplicative properties of the {Fourier} coefficients of {Siegel} modular forms for principal congruence subgroups of the group $\operatorname{Sp}(n,\mathbf Z)$},
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The Euler expansion of Dirichlet series constructed from the Fourier coefficients of Siegel modular forms for principal congruence subgroups of the integral symplectic group is obtained. Bibliography: 6 titles.

[1] Andrianov A. N., “Eilerovy razlozheniya teta-preobrazovanii zigelevykh modulyarnykh form roda $n$”, Matem. sb., 105(147) (1978), 291–341 | MR | Zbl

[2] Andrianov A. N., “Multiplikativnaya arifmetika zigelevykh modulyarnykh form”, UMN, 34:1 (1979), 67–135 | MR | Zbl

[3] Andrianov A. N., Maloletkin G. N., “Povedenie teta-ryadov roda $n$ pri modulyarnykh podstanovkakh”, Izv. AN SSSR. Ser. matem., 39:2 (1975), 243–258 | MR | Zbl

[4] Gritsenko V. A., “Simmetricheskie kvadraty dzeta-funktsii dlya glavnoi kongruents-podgruppy gruppy Zigelya roda 2”, Matem. sb., 104(146) (1977), 22–41 | Zbl

[5] Shimura G., Vvedenie v arifmeticheskuyu teoriyu avtomorfnykh funktsii, Mir, M., 1973 | MR | Zbl

[6] Evdokimov S. A., “Bazis iz sobstvennykh funktsii operatorov Gekke v teorii modulyarnykh form roda $n$”, Matem. sb., 115(157) (1981), 337–363 | MR | Zbl