Geodesic
On the Littlewood--Offord problem
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 21, Tome 431 (2014), pp. 72-81

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The paper deals with studying a connection of the Littlewood–Offord problem with estimating the concentration functions of some symmetric infinitely divisible distributions. Some multivariate generalizations of results of Arak (1980) are given. They show a connection of the concentration function of the sum with the arithmetic structure of supports of distributions of independent random vectors for arbitrary distributions of summands. 
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     author = {Yu. S. Eliseeva and A. Yu. Zaitsev},
     title = {On the {Littlewood--Offord} problem},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_431_a4/}
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Yu. S. Eliseeva; A. Yu. Zaitsev. On the Littlewood--Offord problem. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 21, Tome 431 (2014), pp. 72-81. http://geodesic.mathdoc.fr/item/ZNSL_2014_431_a4/