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A. Glibichuk

2 papers hereh-index 287 citations5 works total

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author position
  • sole author1

Across the 1 of 2 papers where every author was matched, so the position is known.

fields
  • math.NT2

identity via Semantic Scholar / OpenAlex

most citedAdditive properties of product sets in an arbitrary finite field

5 citations · 7 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2011★ 2 cited

Average estimate for additive energy in prime field

Alexey Glibichuk

Assume that $A\subseteq \Fp, B\subseteq \Fp^{*}$, $\1/4\leqslant\frac{|B|}{|A|},$ ∣A∣=pα,∣B∣=pβ. We will prove that for p⩾p0​(β) 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 A and B of an arbitrary finite field $\Fq$ such that ∣A∣∣B∣>q the identity $16AB=\Fq$ holds. Moreover, it is established that for every…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.