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. 
@article{DM_2014_26_4_a8,
     author = {V. G. Sargsyan},
     title = {Asymptotics of the logarithm of the number of $(k,l)$-sum-free sets in an {Abelian} group},
     journal = {Diskretnaya Matematika},
     pages = {91--99},
     publisher = {mathdoc},
     volume = {26},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2014_26_4_a8/}
}
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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/