On the series of H.~Cramer
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VI, Tome 97 (1980), pp. 181-185

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An asymptotic approximations are established for an analogue of H. Cramer's “series” which described the asymptotic of the large deviations for the norm of the sums of independent identically distributed random vectors in a Hilbert spacer (Osipov L. V. Theory probability and its applications, 1978, v. 23, p. 510).
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     title = {On the series of {H.~Cramer}},
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L. V. Osipov. On the series of H.~Cramer. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VI, Tome 97 (1980), pp. 181-185. http://geodesic.mathdoc.fr/item/ZNSL_1980_97_a16/