Abstract
Let $p$ be a prime number such that $p=2$ or $p\equiv 1\pmod 4$. Let $\varepsilon_p$ denote the fundamental unit of $\mathbb{Q}(\sqrt{p})$ and let $a$ be a positive square-free integer. In the present paper, we construct the Hilbert genus field of the real cyclic quartic fields $\mathbb{Q}(\sqrt{a\varepsilon_p\sqrt{p}})$.
Citation
Mohamed Mahmoud Chems-Eddin. Moulay Ahmed Hajjami. Mohammed Taous. "The construction of the Hilbert genus fields of real cyclic quartic fields." Funct. Approx. Comment. Math. 67 (2) 235 - 257, December 2022. https://doi.org/10.7169/facm/2014
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