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arXiv · 1211.5630

Real Quadratic Fields In Which Every Non-Maximal Order Has Relative Class Number Greater Than One

Amanda Furness·Adam E. Parker
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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.

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Amanda Furness, Adam E. Parker. 2013-05-31. Real Quadratic Fields In Which Every Non-Maximal Order Has Relative Class Number Greater Than One. https://arxiv.org/abs/1211.5630

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