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M. Rudnev

39 papers hereh-index 211.5k citations72 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author10
  • first author6
  • middle author7
  • last author14

Across the 37 of 39 papers where every author was matched, so the position is known.

fields
  • math.CO32
  • math.NT5
  • math.CA2
same name
  • M. Rudnev — 15 papers, h 9
  • M. Rudnev — 2 papers, h 1
  • M. Rudnev — 1 paper, h 1

Either other researchers who publish under this name, or the same person where the external sources have not merged their records.

identity via Semantic Scholar / OpenAlex

activity
20052026
most citedNew results on sum-product type growth over fields

52 citations · 222 across the 27 of their papers we have counts for

collaborators
Showing 2008Show all

3 papers · 1 filter

math.CO2008★ 4 cited

Solymosi's multiplicative energy bound for complex numbers

Tim Jones, Misha Rudnev

We extend the recent Solymosi's sum-product estimate for reals to the complex case.

math.CO2008★ 5 cited

An improved estimate on sums of product sets

Misha Rudnev

In a recent paper \cite{Gl} A. Glibichuk proved that if A,B are subsets of an arbitrary finite filed $\F_q$, such that ∣A∣∣B∣>q, then $16AB = \F_q$. We improve this to $10AB =…

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.