V. Lev

activity

20052025

most citedProgression-free sets in Z_4^n are exponentially small

94 citations · 124 across the 35 of their papers we have counts for

collaborators

Showing 2008Show all

3 papers · 1 filter

math.NT2008

Additive Bases in Abelian Groups

Vsevolod F. Lev, Mikhail E. Muzychuk, Rom Pinchasi

Let $G$ be a finite, non-trivial abelian group of exponent $m$ , and suppose that $B_{1}, ..., B_{k}$ are generating subsets of $G$ . We prove that if $k > 2 m ln lo g_{2} ∣ G ∣$ , then the mul…

math.NT2008★ 1 cited

1-Saturating Sets, Caps and Round Sets in Binary Spaces

David J. Grynkiewicz, Vsevolod F. lev

We show that, for a positive integer $r$ , every minimal 1-saturating set in $PG (r - 1, 2)$ of size at least $11/36 2^{r} + 3$ is either a complete cap or can be obtained from a co…

math.NT2008

Consecutive integers in high-multiplicity sumsets

Vsevolod F. Lev

Sharpening (a particular case of) a result of Szemeredi and Vu and extending earlier results of Sarkozy and ourselves, we find, subject to some technical restrictions, a sharp thre…