Geodesic
Three additive problems
Izvestiya. Mathematics , Tome 41 (1993) no. 3, pp. 447-464

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Variants of two classical additive problems – the ternary Goldbach problem and the Goldbach–Waring problem – are solved in prime numbers lying in intervals of a special form. A binary additive problem with numbers in the sequence $[n^c]$, $c>1$, is also solved. 
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     author = {S. A. Gritsenko},
     title = {Three additive problems},
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     number = {3},
     year = {1993},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1993_41_3_a2/}
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S. A. Gritsenko. Three additive problems. Izvestiya. Mathematics , Tome 41 (1993) no. 3, pp. 447-464. http://geodesic.mathdoc.fr/item/IM2_1993_41_3_a2/