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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Showing 2020Show all

2 papers · 1 filter

math.NT2020★ 6 cited

Short effective intervals containing primes in arithmetic progressions and the seven cubes problem

Habiba Kadiri

Let $q \geq 3$ be a non-exceptional modulus $q \geq 3$ , and let $a$ be a positive integer coprime with $q$ . For any $ε > 0$ , there exists $α > 0$ (computable), such that for all $x\ge α(\lo…

math.NT2020

Sharper Bounds for the Chebyshev function $θ (x)$

Samuel Broadbent, Habiba Kadiri, Allysa Lumley +2

In this article, we provide explicit bounds for the prime counting function $θ (x)$ in all ranges of $x$ . The bounds for the error term for $θ (x) - x$ are of the shape $ε x$ and $\fra…

Short effective intervals containing primes in arithmetic progressions and the seven cubes problem

Sharper Bounds for the Chebyshev function θ(x)

Sharper Bounds for the Chebyshev function $θ (x)$