Abstract
Let Fp be a prime field of order p, and A be a set in Fp with |A|≤p1∕2. In this note, we show that max{|A+A|,|f(A,A)|}≳|A|65+4305,where f(x,y) is a non-degenerate quadratic polynomial in Fp[x,y]. This improves a recent result given by Koh, Mojarrad, Pham, Valculescu (2018).
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