Geodesic
The Linnik conjecture. I
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 6, Tome 265 (1999), pp. 64-76 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Linnik conjecture is proved in the mean-square version with respect to the main parameter, namely, the length of the Linnik sum. 
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     author = {A. I. Vinogradov},
     title = {The {Linnik} {conjecture.~I}},
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     year = {1999},
     volume = {265},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a5/}
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A. I. Vinogradov. The Linnik conjecture. I. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 6, Tome 265 (1999), pp. 64-76. http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a5/