Computations suggest that the discriminant of the polynomial $[n]_{q^m}=1+q^{m}+\dots+q^{(n-1)m}$ with respect to $q$ is $ \pm {\left( {m{{(mn)}^{n - 2}}} \right)^m}.$ Could you please give me a reference where I can find simple proofs of these results?
2026-03-25 23:39:12.1774481952
Discriminant of q-analogs of positive integers
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