52 citations · 208 across the 22 of their papers we have counts for
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math.CO2017★ 3 cited
Products of Differences over Arbitrary Finite Fields
Brendan Murphy, Giorgis Petridis
There exists an absolute constant such that for all and all subsets of the finite field with elements, if , then \[ |(A…
math.CO2017★ 52 cited
New results on sum-product type growth over fields
Brendan Murphy, Giorgis Petridis, Oliver Roche-Newton +2
We prove a range of new sum-product type growth estimates over a general field , in particular the special case . They are unified by the theme…
math.CO2017★ 3 cited
A Second Wave of Expanders over Finite Fields
Brendan Murphy, Giorgis Petridis
This is an expository survey on recent sum-product results in finite fields. We present a number of sum-product or "expander" results that say that if then some set…