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{title2=$\operatorname{disc}(1,\zeta_p,\ldots,\zeta_p^{p-2})$}

For an odd prime $p$ and a primitive $p$th root $\zeta_p$,
$$
\operatorname{disc}(1,\zeta_p,\ldots,\zeta_p^{p-2})
=(-1)^{(p-1)/2}p^{p-2}.
$$


Discriminant of a prime cyclotomic power basis

Past exam of the mathematics course of the University of Cambridge / 2018 / ii / Paper 2 / 20G / b / Solution

Discriminant of a prime cyclotomic power basis ( $disc (1, ζ_{p}, \dots, ζ_{p}^{p - 2})$ )

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Discriminant of a prime cyclotomic power basis (disc(1,ζp​,…,ζpp−2​))

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Discriminant of a prime cyclotomic power basis ( $disc (1, ζ_{p}, \dots, ζ_{p}^{p - 2})$ )

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