202 citations
- Istituto Nazionale di Fisica Nucleare, Sezione di MilanoIT137 papers
- University of Milano-BicoccaIT99 papers
- University of MilanIT86 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di Milano BicoccaIT67 papers
- Centre National de la Recherche ScientifiqueFR63 papers
- Imperial College LondonGB62 papers
- University of GenoaIT61 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di FirenzeIT60 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PisaIT60 papers
- Massachusetts Institute of TechnologyUS59 papers
- University of CagliariIT59 papers
- University of PisaIT59 papers
Showing 2013 · math.NTShow all
2 papers · 2 filters
math.NT2013★ 11 cited
Explicit smoothed prime ideals theorems under GRH
Loïc Grenié, Giuseppe Molteni
Let be the Chebyshev function of a number field . Let 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…