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Publication - Dr Brendan Murphy

    A Second Wave of Expanders over Finite Fields


    Murphy, B & Petridis, G, 2018, ‘A Second Wave of Expanders over Finite Fields’. in: Combinatorial and Additive Number Theory II: CANT, New York, NY, USA, 2015 and 2016. Springer International Publishing AG


    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 $|A| > p^{2/3}$ then some set determined by sums and product of elements of $A$ is nearly as large as possible, and if $|A|

    Full details in the University publications repository