Geodesic
A random variable uniformly distributed on a finite Abelian group as sum of independent summands
Teoriâ veroâtnostej i ee primeneniâ, Tome 43 (1998) no. 2, pp. 397-403 Cet article a éte moissonné depuis la source Math-Net.Ru

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Necessary and sufficient conditions are found in order that a sum of independent random variables on a finite Abelian group has uniform distribution.
Keywords: distributions on finite groups, uniform distribution. 
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     author = {V. I. Sherstnev},
     title = {A~random variable uniformly distributed on a~finite {Abelian} group as~sum of independent summands},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {397--403},
     year = {1998},
     volume = {43},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1998_43_2_a15/}
}
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V. I. Sherstnev. A random variable uniformly distributed on a finite Abelian group as sum of independent summands. Teoriâ veroâtnostej i ee primeneniâ, Tome 43 (1998) no. 2, pp. 397-403. http://geodesic.mathdoc.fr/item/TVP_1998_43_2_a15/