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Asymptotics for the logarithm of the number of (k, l)-sum-free sets in groups of prime order
Authors:V G Sargsyan
Institution:1. Department of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119899, Russia
Abstract:The subset A of a group G is (k, l)-sum-free if x 1 + ?? + x k ? x k + 1 ? ?? ? x k+l?1 does not belong to the set A for any x 1, ??, x k+l?1 ?? A. Asymptotics for the logarithm of the number of sets (k, l)-sum-free in groups of prime order is obtained.
Keywords:
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