M. Garaev

activity

20042025

most citedCongruences involving product of intervals and sets with small multiplicative doubling modulo a prime and applications

30 citations · 125 across the 33 of their papers we have counts for

collaborators

Showing 2006Show all

2 papers · 1 filter

math.NT2006

On small distances between ordinates of zeros of $ζ (s)$ and $ζ^{'} (s)$

M. Z. Garaev, C. Y. Yildirim

We prove that for any zero $β^{'} + i γ^{'}$ of $ζ^{'} (s)$ there exists a zero $β + iγ$ of $ζ (s)$ such that $∣ γ - γ^{'} ∣ ≪ ∣ β^{'} - \frac{1}{2} ∣,$ and we provide some other related results.

math.NT2006★ 19 cited

Density of non-residues in Burgess-type intervals and applications

W. D. Banks, M. Z. Garaev, D. R. Heath-Brown +1

We show that for any fixed $\eps>0$, there are numbers $δ > 0$ and $p_{0} \geq 2$ with the following property: for every prime $p \geq p_{0}$ and every integer $N$ such that $p^{1/(4\sqrt{e}…

On small distances between ordinates of zeros of ζ(s) and ζ′(s)

Density of non-residues in Burgess-type intervals and applications

On small distances between ordinates of zeros of $ζ (s)$ and $ζ^{'} (s)$