Applications of Yu. V. Linnik’s theorem and a result of B. Ramachandran and K. R. Rao are discussed to obtain the necessary convergence conditions in special limit theorems. The case of convergence of sums of a random number of random variables is also considered.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 495, 2020, pp. 177–186.
Translated by I. Ponomarenko.
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Klebanov, L.B. Some Applications of Yu. V. Linnik’s Theorem on Characteristic Functions. J Math Sci 268, 643–648 (2022). https://doi.org/10.1007/s10958-022-06234-8
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DOI: https://doi.org/10.1007/s10958-022-06234-8