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Questions tagged [totally-real-field]

For questions about number fields that are totally real, i.e. whose every complex embedding has real image.

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Finding an irreducible polynomial of degree $n$ in $\mathbb Q[X]$ with real roots

Context. I was trying to prove that for a given $n$, there exist a totally real number field of degree $n$. I understood that it was equivalent to find a polynomial $P$ such that (i) $P\in\mathbb Q[...