5 citations · 7 across the 2 of their papers we have counts for
2 papers
math.NT2011★ 2 cited
Average estimate for additive energy in prime field
Alexey Glibichuk
Assume that $A\subseteq \Fp, B\subseteq \Fp^{*}$, $\1/4\leqslant\frac{|B|}{|A|},$ . We will prove that for one has $$\sum_{b\in B}E_{+}(A, bA)…
math.NT2008★ 5 cited
Additive properties of product sets in an arbitrary finite field
Alexey Glibichuk
It is proved that for any two subsets and of an arbitrary finite field $\Fq$ such that the identity $16AB=\Fq$ holds. Moreover, it is established that for every…