Geodesic
The Selberg $Z$-function. A~local approach
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 3, Tome 260 (1999), pp. 298-316

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A local version of the Selberg $Z$-function is used in order to extend it analitically and to prove some estimates in the critical band. 
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     author = {A. I. Vinogradov},
     title = {The {Selberg} $Z$-function. {A~local} approach},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {298--316},
     publisher = {mathdoc},
     volume = {260},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_260_a21/}
}
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A. I. Vinogradov. The Selberg $Z$-function. A~local approach. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 3, Tome 260 (1999), pp. 298-316. http://geodesic.mathdoc.fr/item/ZNSL_1999_260_a21/