Zero-Free Sets in Abelian Groups
Keywords:
Sum-free set, Characteristic function, Group, Progression, CosetAbstract
The subset A of the group G is called zero-free if the equation x+ y + z = 0 has no solutions in the set A: The upper and lower estimates were obtained for the maximum cardinality of the zero-free set in an Abelian group, and the asymptotic behavior of the logarithm of the number of zero-free sets in an Abelian group was established.
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