On the speed of convergence to the Gaussian law of weighted sums of gap series
Teoriâ veroâtnostej i ee primeneniâ, Tome 13 (1968) no. 3, pp. 445-461

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Some estimates are obtained for the remainder terms in the well-known theorems due to Salem–Zygmund (see theorem 1) and Fortét–Kac (see theorems 2 and 2').
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     author = {V. F. Gaposhkin},
     title = {On the speed of convergence to the {Gaussian} law of weighted sums of gap series},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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V. F. Gaposhkin. On the speed of convergence to the Gaussian law of weighted sums of gap series. Teoriâ veroâtnostej i ee primeneniâ, Tome 13 (1968) no. 3, pp. 445-461. http://geodesic.mathdoc.fr/item/TVP_1968_13_3_a3/