Geodesic
A generalized square of the zeta function. The
Zapiski Nauchnykh Seminarov POMI, Proceedings on number theory, Tome 322 (2005), pp. 17-44

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The spectral decomposition for the square of the classical Riemann zeta function $\zeta^2(s)$ is generalized to the case of the product of two such functions $\zeta(s_1)\cdot \zeta(s_2)$ of different arguments. 
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     author = {A. I. Vinogradov},
     title = {A generalized square of the zeta function. {The}},
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A. I. Vinogradov. A generalized square of the zeta function. The. Zapiski Nauchnykh Seminarov POMI, Proceedings on number theory, Tome 322 (2005), pp. 17-44. http://geodesic.mathdoc.fr/item/ZNSL_2005_322_a2/