Geodesic
Asymptotics of the logarithm of the number of $(k,l)$-sum-free sets in an Abelian group
Diskretnaya Matematika, Tome 26 (2014) no. 4, pp. 91-99.

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A subset $A$ of elements of a group $G$ is $(k,l)$-sum-free if $A$ does not contains solutions of the equation $x_1 + \ldots + x_k=y_1 + \ldots + y_l$. We have obtained asymptotics of the logarithm of the number of $(k,l)$-sum-free sets in an Abelian group.
Keywords: sum-free set, characteristic function, group, progression, coset. 
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V. G. Sargsyan. Asymptotics of the logarithm of the number of $(k,l)$-sum-free sets in an Abelian group. Diskretnaya Matematika, Tome 26 (2014) no. 4, pp. 91-99. http://geodesic.mathdoc.fr/item/DM_2014_26_4_a8/

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