Geodesic
On the sum of a~prime and a~$k$-th power
Izvestiya. Mathematics , Tome 59 (1995) no. 1, pp. 189-204

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The distribution of Hardy–Littlewood numbers in short intervals is considered. Bibliography: 13 titles. 
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A. Perelli; A. Zaccagnini. On the sum of a~prime and a~$k$-th power. Izvestiya. Mathematics , Tome 59 (1995) no. 1, pp. 189-204. http://geodesic.mathdoc.fr/item/IM2_1995_59_1_a7/