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A collection (A1, … ,Ak+l) of subsets of an interval [1, n] of naturals is called (k, l)-solution-free if there is no set (a1, … , ak+l) ∈ A1 ×… Click to show full abstract
A collection (A1, … ,Ak+l) of subsets of an interval [1, n] of naturals is called (k, l)-solution-free if there is no set (a1, … , ak+l) ∈ A1 × ⋯ × Ak+l that is a solution to the equation x1 + ⋯ + xk = xk+1 + ⋯ + xk+l. We obtain the asymptotics for the logarithm of the number of sets (k, l)-free of solutions in an interval [1, n] of naturals.
Keywords:
logarithm number;
solution free;
asymptotics logarithm;
interval naturals;
solution
Journal Title: Journal of Applied and Industrial Mathematics
Year Published: 2019
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Journal Title: Journal of Applied and Industrial Mathematics
Year Published: 2019
Link to full text (if available)
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recommendations!