Geodesic
The Linnik conjecture. The local approach
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 11, Tome 319 (2004), pp. 71-80

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The Linnik sum is expanded in the spectrum by the local method. 
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     author = {A. I. Vinogradov},
     title = {The {Linnik} conjecture. {The} local approach},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_319_a2/}
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A. I. Vinogradov. The Linnik conjecture. The local approach. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 11, Tome 319 (2004), pp. 71-80. http://geodesic.mathdoc.fr/item/ZNSL_2004_319_a2/