The Hasse Norm Principle For Biquadratic Extensions
Number Theory
2018-08-02 v2
Abstract
We give an asymptotic formula for the number of biquadratic extensions of the rationals of bounded discriminant that fail the Hasse norm principle.
Cite
@article{arxiv.1707.00412,
title = {The Hasse Norm Principle For Biquadratic Extensions},
author = {Nick Rome},
journal= {arXiv preprint arXiv:1707.00412},
year = {2018}
}
Comments
19 pages. Proof of Theorem 1 improved/simplified. Accepted by Journal de Th\'eorie des Nombres de Bordeaux