3 citations · 3 across the 1 of their papers we have counts for
4 papers
The first and second moment for the length of the period of the continued fraction expansion for
Francesco Battistoni, Loïc Grenié, Giuseppe Molteni
Let be any positive and non square integer. We prove an upper bound for the first two moments of the length of the period of the continued fraction expansion for $\sqrt{…
An effective Chebotarev density theorem under GRH
L. Grenié, G. Molteni
We prove an effective version of the Chebotarev theorem for the density of prime ideals with fixed Artin symbol, under the assumption of the validity of the Riemann hypothesis for…
Explicit bounds for generators of the class group
Loïc Grenié, Giuseppe Molteni
Assuming Generalized Riemann's Hypothesis, Bach proved that the class group of a number field may be generated using prime ideals whose…
Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH, II
Loïc Grenié, Giuseppe Molteni
We have proved recently several explicit versions of the prime ideal theorem under GRH. Here we prove a version with optimal asymptotic behaviour.