Geodesic
A generalized square of the zeta function. The spectral decomposition.~II
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 13, Tome 330 (2006), pp. 77-92

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An estimate of the rest term in the spectral decomposition of the generalized $\zeta$-function are given that is more precise than the known ones. This paper is a continuation of the previous paper of the author published in Zapiski nauchn. semin. POMI, 322. 
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     author = {A. I. Vinogradov},
     title = {A generalized square of the zeta function. {The} spectral {decomposition.~II}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {77--92},
     publisher = {mathdoc},
     volume = {330},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_330_a3/}
}
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A. I. Vinogradov. A generalized square of the zeta function. The spectral decomposition.~II. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 13, Tome 330 (2006), pp. 77-92. http://geodesic.mathdoc.fr/item/ZNSL_2006_330_a3/