@misc{Vahe_G._Sargsyan_Zero-Free, author={Vahe G. Sargsyan}, howpublished={online}, publisher={Изд-во НАН РА}, abstract={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. Keywords: Sum-free set, Characteristic function, Group, Progression, Coset.}, title={Zero-Free Sets in Abelian Groups}, type={Հոդված}, keywords={Mathematics}, }