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MR1317789 60E10 (60E05 60F05 62E10)
Vakhaniya, N. N. A simple proof of Pólya's characterization theorem and the necessity of the second moment in the CLT. (Russian) Teor. Veroyatnost. i Primenen. 38 (1993), no. 1, 168--171; translation in Theory Probab. Appl. 38 (1993), no. 1, 166–168
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