Asymptotics for the logarithm of the number of k-solution-free sets in Abelian groups.

Autor:	Sapozhenko, Aleksandr A., Sargsyan, Vahe G.
Předmět:	ABELIAN groups LOGARITHMS CHARACTERISTIC functions EQUATIONS
Zdroj:	Discrete Mathematics & Applications; Dec2019, Vol. 29 Issue 6, p401-407, 7p
Abstrakt:	A family (A1, ..., Ak) of subsets of a group G is called k-solution-free family if the equation x1 + ... + xk = 0 has no solution in (A1, ..., Ak) such that x1 ∈ A1, ..., xk ∈ Ak. We find the asymptotic behavior for the logarithm of the number of k-solution-free families in Abelian groups. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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