D. Zhelezov

activity

20152026

most citedQuery complexity and the polynomial Freiman-Ruzsa conjecture

13 citations · 32 across the 10 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math.NT2015

Discrete spheres and arithmetic progressions in product sets

Dmitrii Zhelezov

We prove that if $B$ is a set of $N$ positive integers such that $B \cdot B$ contains an arithmetic progression of length $M$ , then for some absolute $C > 0$ , $$ π(M) + C \frac {M^{…

math.NT2015★ 7 cited

On additive shifts of multiplicative almost-subgroups in finite fields

Dmitrii Zhelezov

We prove that for sets $A, B, C \subset F_{p}$ with $∣ A ∣ = ∣ B ∣ = ∣ C ∣ \leq p$ and a fixed $0 \neq = d \in F_{p}$ holds $max (∣ A B ∣, ∣ (A + d) C ∣) ≫ ∣ A ∣^{1 + 1/26} .$ In…