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Hartman, P. and Wintner, A.: On the law of the iterated logarith. Amer. J. math. 63, 169–176 (1941).
Strassen, V.: A converse to the law of the iterated logarithm. Z. Wahrscheinlichkeitstheorie verw. Geb. 4, 265–268 (1966).
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Steiger, W.L., Zaremba, S.K. The converse of the Hartman-Wintner theorem. Z. Wahrscheinlichkeitstheorie verw Gebiete 22, 193–194 (1972). https://doi.org/10.1007/BF00536089
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DOI: https://doi.org/10.1007/BF00536089