On sets of natural numbers without solution to a noninvariant linear equation
Arithmetic progressions in sums of subsets of sparse sets
The number of (2,3)-sum-free subsets of {1,...,n}
Small bases for finite groups
On strongly sum-free subsets of abelian groups
In his book on unsolved problems in number theory [1] R. K. Guy asks whether for every natural l there exists with the following property: for every and any n elements of a group such that the product of any two of them is different from the unit element of the group, there exist l of the such that for and . In this note we answer this question in the affirmative in the first non-trivial case when l=3 and the group is abelian, proving the following result.
On the maximal density of sum-free sets
The number of solutions of a homogeneous linear congruence
On sumsets and spectral gaps
On a problem of Konyagin
A note on the number of -sum-free sets.
Multiple set addition in .
Integer sets having the maximum number of distinct differences.
The structure of maximum subsets of with no solutions to .
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