2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.NT2007
Sums of dilates
Boris Bukh
The lambda-dilate of a set A is lambda*A={lambda a : a \in A}. We give an asymptotically sharp lower bound on the size of sumsets of the form lambda_1*A+...+lambda_k*A for arbitrar…
math.CO2007
Discrete Kakeya-type problems and small bases
Noga Alon, Boris Bukh, Benny Sudakov
A subset U of a group G is called k-universal if U contains a translate of every k-element subset of G. We give several nearly optimal constructions of small k-universal sets, and…
math.CO2007★ 2 cited
Measurable sets with excluded distances
Boris Bukh
For a set of distances D={d_1,...,d_k} a set A is called D-avoiding if no pair of points of A is at distance d_i for some i. We show that the density of A is exponentially small in…