On $\theta$-congruent numbers on real quadratic number fields

Ali S. Janfada, Sajad Salami

Let $\mathbb{K}=\mathbb{Q}(\sqrt{m})$ be a real quadratic number field, where $m>1$ is a squarefree integer. Suppose that $0<\theta <\pi$ has rational cosine, say $\cos (\theta )=s/r$ with…