Geodesic
Euler expansions of theta transforms of Siegel modular forms of half-integral weight and their analytic properties
Sbornik. Mathematics, Tome 51 (1985) no. 1, pp. 169-190

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Using the method of A. N. Andrianov, we establish a connection between the Fourier coefficients of Siegel modular forms $F$ of half-integral weight and the eigenvalues of operators in the local Hecke rings $\mathbf L_p^n(\varkappa)$ for the symplectic covering group $\mathrm{GSp}_n^+(\mathbf R)$ of degree $n$. These results are used for analytic continuation of the standard zeta-functions associated to $F$. Bibliography: 10 titles. 
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     author = {V. G. Zhuravlev},
     title = {Euler expansions of theta transforms of {Siegel} modular forms of half-integral weight and their analytic properties},
     journal = {Sbornik. Mathematics},
     pages = {169--190},
     publisher = {mathdoc},
     volume = {51},
     number = {1},
     year = {1985},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1985_51_1_a10/}
}
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V. G. Zhuravlev. Euler expansions of theta transforms of Siegel modular forms of half-integral weight and their analytic properties. Sbornik. Mathematics, Tome 51 (1985) no. 1, pp. 169-190. http://geodesic.mathdoc.fr/item/SM_1985_51_1_a10/