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On sums modulo \(2\pi\) of independent random variables. (English) Zbl 0523.60016

MSC:
60F05 Central limit and other weak theorems
60B15 Probability measures on groups or semigroups, Fourier transforms, factorization
60E07 Infinitely divisible distributions; stable distributions
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[1] Probabilistic number theory I, Springer-Verlag Berlin 1979.
[2] Lehrbuch der Wahrscheinlichkeitsrechnung. Akademie-Verlag Berlin 1968 (Translation from the Russian).
[3] , Grenzverteilungen von Summen unabhängiger Zufallsgrößen. Akademie-Verlag Berlin 1959 (Translation from the Russian).
[4] Probabilities on algebraie structures. J. Wiley & Sons New York 1963.
[5] Holewijn, Ann. Math. Statist. 40 pp 1124– (1969)
[6] and , Uniform distribution of sequences. J. Wiley & Sons New York 1974. · Zbl 0281.10001
[7] Sums of independent random variables. Akademie-Verlag Berlin 1975 (Translation from the Russian).
[8] Schatte, Zeitschr. Angew. Math. Mech. 53 pp 553– (1973)
[9] Schatte, Wiss. Zeitschr. d. Univ. Rostock 23 pp 783– (1974)
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