H. Kadiri

activity

20042026

most citedUne region explicite sans zero pour la fonction Zeta de Riemann

26 citations · 60 across the 17 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

math.NT2014★ 14 cited

Short effective intervals containing primes

Habiba Kadiri, Allysa Lumley

We prove that if $x$ is large enough, namely $x \geq x_{0}$ , then there exists a prime between $x (1 - Δ^{- 1})$ and $x$ , where $Δ$ is an effective constant computed in terms of $x_{0}$ . Th…

math.NT2014

A zero density result for the Riemann zeta function

Habiba Kadiri

In this article, we prove an explicit bound for $N (σ, T)$ , the number of zeros of the Riemann zeta function satisfying $σ < ℜ s < 1$ and $0 < ℑ s < T$ . This result provides a sig…