Geodesic
Representation of even zeta function on the spaces of theta series
Zapiski Nauchnykh Seminarov POMI, Automorphic functions and number theory. Part II, Tome 134 (1984), pp. 5-14

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The coefficients of even zeta-function of symplectic group act as Heoke operators on the spaces spanned by theta-series of positive integral quadratic forms belonging to a given genus. The matrices of the representations are found for the quadratic forms in even number of variables. 
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     author = {A. N. Andrianov},
     title = {Representation of even zeta function on the spaces of theta series},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     publisher = {mathdoc},
     volume = {134},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_134_a0/}
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A. N. Andrianov. Representation of even zeta function on the spaces of theta series. Zapiski Nauchnykh Seminarov POMI, Automorphic functions and number theory. Part II, Tome 134 (1984), pp. 5-14. http://geodesic.mathdoc.fr/item/ZNSL_1984_134_a0/