52 citations · 127 across the 37 of their papers we have counts for
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math.CO2015
On discrete values of bilinear forms
Alex Iosevich, Oliver Roche-Newton, Misha Rudnev
This paper is an erratum to our paper, entitled "On an application of Guth-Katz theorem", Math. Res. Lett. 18 (2011), no. 4, 691-697. Let be the real or complex field and a…
math.CO2015
If is small then the ratio set is large
Oliver Roche-Newton
In this paper, we consider the sum-product problem of obtaining lower bounds for the size of the set $$\frac{A+A}{A+A}:=\left \{ \frac{a+b}{c+d} : a,b,c,d \in A, c+d \neq 0 \right\…
math.CO2015★ 11 cited
A short proof of a near-optimal cardinality estimate for the product of a sum set
Oliver Roche-Newton
In this note it is established that, for any finite set of real numbers, there exist two elements such that In particul…