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 2022Show all

2 papers · 1 filter

math.NT2022

Sharper bounds for the error term in the Prime Number Theorem

Andrew Fiori, Habiba Kadiri, Joshua Swidinsky

We provide very effective methods to convert both asymptotic and explicit numeric bounds on the prime counting function $ψ (x)$ to bounds of the same type on both $θ (x)$ and $π (x)$ .…

math.NT2022

Sharper bounds for the Chebyshev function $ψ (x)$

Andrew Fiori, Habiba Kadiri, Joshua Swidinsky

We improve the unconditional explicit bounds for the error term in the prime counting function $ψ (x)$ . In particular, we prove that, for all $x > 2$ , we have \[ \left| ψ(x)-x \right|…

Sharper bounds for the error term in the Prime Number Theorem

Sharper bounds for the Chebyshev function ψ(x)

Sharper bounds for the Chebyshev function $ψ (x)$