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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     title = {A generalized square of the zeta function. {The} spectral {decomposition.~II}},
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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/

[1] A. I. Vinogradov, “Obobschennyi kvadrat dzeta-funktsii. Spektralnoe razlozhenie”, Zap. nauchn. semin. POMI, 322, 2005, 17–44 | MR | Zbl