H. Kadiri

activity

20192021

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

6 citations · 6 across the 3 of their papers we have counts for

collaborators

4 papers

math.NT2021

Explicit zero density for the Riemann zeta function

Habiba Kadiri, Allysa Lumley, Nathan Ng

Let $N (σ, T)$ denote the number of nontrivial zeros of the Riemann zeta function with real part greater than $σ$ and imaginary part between $0$ and $T$ . We provide explicit upper bo…

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…

math.NT2019

The least prime ideal in the Chebotarev Density Theorem

Habiba Kadiri, Nathan Ng, Peng-Jie Wong

In this article, we prove a new bound for the least prime ideal in the Chebotarev density theorem, which improves the main theorem of Zaman [Funct. Approx. Comment. Math. 57 (2017)…

Explicit zero density for the Riemann zeta function

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

Sharper Bounds for the Chebyshev function θ(x)

The least prime ideal in the Chebotarev Density Theorem

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