Geodesic
On the central limit theorem for some weakly dependent sequences
Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 4, pp. 666-684

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The central limit theorem for series with respect to the systems $\{\varphi(n_kx)\}$ with Hadamard's gaps is studied. Necessary and sufficient conditions are obtained (see theorem 1). 
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     author = {V. F. Gaposhkin},
     title = {On the central limit theorem for some weakly dependent sequences},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {666--684},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1970_15_4_a5/}
}
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V. F. Gaposhkin. On the central limit theorem for some weakly dependent sequences. Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 4, pp. 666-684. http://geodesic.mathdoc.fr/item/TVP_1970_15_4_a5/