Numerical verification of the Cohen–Lenstra–Martinet heuristics and of Greenberg’s p -rationality conjecture

In this paper we make a series of numerical experiments to support Greenberg’s p -rationality conjecture, we present a family of p -rational biquadratic fields and we find new examples of p -rational multiquadratic fields. In the case of multiquadratic and multicubic fields we show that the conjectu... View More