Real Quadratic Fields In Which Every Non-Maximal Order Has Relative Class Number Greater Than One
Number Theory
2013-06-03 v2
Abstract
Cohn asks if for every real quadratic field Q(m) with discriminant d there exists a non-maximal order corresponding to f > 1 such that the relative class number Hd(f) = h(f2d)/h(d) is one. We prove that when m = 46 (and in seven other cases) there is no such order.
Cite
@article{arxiv.1211.5630,
title = {Real Quadratic Fields In Which Every Non-Maximal Order Has Relative Class Number Greater Than One},
author = {Amanda Furness and Adam E. Parker},
journal= {arXiv preprint arXiv:1211.5630},
year = {2013}
}
Comments
8 pages