Geodesic
The $p$-adic law of large numbers
Izvestiya. Mathematics , Tome 80 (2016) no. 3, pp. 489-499

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We study limit theorems for sums of independent random variables with values in the field of $p$-adic numbers. We obtain bounds for the rate of convergence in distribution for sums of independent random variables with values in the group of $p$-adic integers.
Keywords: $p$-adic numbers, limit theorems, sum of independent random variables. 
@article{IM2_2016_80_3_a2,
     author = {E. I. Zelenov},
     title = {The $p$-adic law of large numbers},
     journal = {Izvestiya. Mathematics },
     pages = {489--499},
     publisher = {mathdoc},
     volume = {80},
     number = {3},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2016_80_3_a2/}
}
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E. I. Zelenov. The $p$-adic law of large numbers. Izvestiya. Mathematics , Tome 80 (2016) no. 3, pp. 489-499. http://geodesic.mathdoc.fr/item/IM2_2016_80_3_a2/