11 citations · 17 across the 3 of their papers we have counts for
3 papers
math.CO2012★ 11 cited
Further improvements to incidence and Beck-type bounds over prime finite fields
Timothy G. F. Jones
We establish improved finite field Szemeredi-Trotter and Beck type theorems. First we show that if P and L are a set of points and lines respectively in the plane F_p^2, with |P|,|…
math.CO2012★ 2 cited
Improved bounds on the set A(A+1)
Timothy G. F. Jones, Oliver Roche-Newton
For a subset A of a field F, write A(A + 1) for the set {a(b + 1):a,b\in A}. We establish new estimates on the size of A(A+1) in the case where F is either a finite field of prime…
math.CO2012★ 4 cited
New results for the growth of sets of real numbers
Timothy G. F. Jones
We use the theory of cross ratios to construct a real-valued function f of only three variables with the property that for any finite set A of reals, the set f(A) = {f(a,b,c):a,b,c…