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

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math.NT2026

Explicit Exponential Sum Estimates and Approximate Functional Equations for the Zeta Function

Natasha Dhiman, Habiba Kadiri, Emily Quesada-Herrera

We show an explicit version of the Van der Corput truncated Poisson summation formula (B-process). By using refined explicit exponential sum estimates, this improves the error term…

math.NT2026

Bounds for Mertens Sums

Samuel Broadbent, Andrew Fiori, Habiba Kadiri +2

In this article we provide new bounds for the Mertens sums and products including $\sum_{p \leq x} p^{- 1}$ and $\prod_{p \leq x} (1 - \frac{1}{p})$ which provide superior exponential a…