Loïc Grenié

activity

20052024

most citedAn effective Chebotarev density theorem under GRH

17 citations · 66 across the 9 of their papers we have counts for

collaborators

Showing 2013Show all

2 papers · 1 filter

math.NT2013★ 11 cited

Explicit smoothed prime ideals theorems under GRH

Loïc Grenié, Giuseppe Molteni

Let $ψ_{K}$ be the Chebyshev function of a number field $K$ . Let $ψ_{K}^{(1)} (x) := \int_{0}^{x} ψ_{K} (t) d t$ and $ψ^{(2)}_{\mathbb K}(x):=2\int_{0}^…

math.NT2013★ 16 cited

Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH

Loïc Grenié, Giuseppe Molteni

Let $ψ_\K$ be the Chebyshev function of a number field $\K$. Under GRH we prove an explicit upper bound for $|ψ_\K(x)-x|$ in terms of the degree and the discriminant of $\K$. The n…