Geodesic
Euler products corresponding to Siegel modular froms of genus~2
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 29 (1974) no. 3, pp. 45-116

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In this article we construct a theory of Dirichlet series with Euler product expansions corresponding to analytic automorphic forms for the integral symplectic group in genus 2; in Chapter 2 we establish a connection between the eigenvalues of the Hecke operators on the spaces of such forms with the Fourier coefficients of the eigenfunctions (Theorem 2.4.1); in Chapter 3 we demonstrate the possibility of analytic continuation to the entire complex plane and derive a functional equation for Euler products corresponding to the eigenfunctions of the Hecke operators (Theorem 3.1.1). Chapter 1 contains a survey of the present state of the theory of Euler products for Siegel modular forms of arbitrary genus $n$, including a sketch of the classical Hecke theory for the case $n=1$. 
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     author = {A. N. Andrianov},
     title = {Euler products corresponding to {Siegel} modular froms of genus~2},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {45--116},
     publisher = {mathdoc},
     volume = {29},
     number = {3},
     year = {1974},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_1974_29_3_a3/}
}
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A. N. Andrianov. Euler products corresponding to Siegel modular froms of genus~2. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 29 (1974) no. 3, pp. 45-116. http://geodesic.mathdoc.fr/item/RM_1974_29_3_a3/