45 citations · 309 across the 42 of their papers we have counts for
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math.CO2010★ 27 cited
Sum-product estimates for rational functions
Boris Bukh, Jacob Tsimerman
We establish several sum-product estimates over finite fields that involve polynomials and rational functions. First, |f(A)+f(A)|+|AA| is substantially larger than |A| for an arbit…
math.CO2010
An analysis of a war-like card game
Boris Alexeev, Jacob Tsimerman
In his book "Mathematical Mind-Benders", Peter Winkler poses the following open problem, originally due to the first author: "[In the game Peer Pressure,] two players are dealt som…
math.CO2009★ 11 cited
Equations resolving a conjecture of Rado on partition regularity
Boris Alexeev, Jacob Tsimerman
A linear equation L is called k-regular if every k-coloring of the positive integers contains a monochromatic solution to L. Richard Rado conjectured that for every positive intege…