17 citations · 84 across the 18 of their papers we have counts for
4 papers · 1 filter
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 Short Intervals for Primes in Arithmetic Progressions on GRH
Adrian W. Dudek, Loïc Grenié, Giuseppe Molteni
We prove explicit versions of Cramér's theorem for primes in arithmetic progressions, on the assumption of the generalized Riemann hypothesis.
Primes and prime ideals in short intervals
L. Grenié, G. Molteni, A. Perelli
We prove the analog of Cramér's short intervals theorem for primes in arithmetic progressions and prime ideals, under the relevant Riemann Hypothesis. Both results are uniform in t…
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.