H. Kadiri

activity

20192026

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

6 citations · 7 across the 10 of their papers we have counts for

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Showing 2021 · math.NTShow all

2 papers · 2 filters

math.NT2021

Primes in the Chebotarev density theorem for all number fields

Habiba Kadiri, Peng-Jie Wong

We establish an explicit bound for the least prime occurring in the Chebotarev density theorem without any restriction. Let $L / K$ be any Galois extension of number fields such that…

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…