István Gaál

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20242026

most citedOn the monogenity of totally complex pure octic fields

1 citations · 2 across the 5 of their papers we have counts for

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math.NT2024★ 1 cited

Calculating power integral bases in some quartic fields corresponding to monogenic families of polynomials

István Gaál

J. Harrington and L. Jones characterized monogenity of four new parametric families of quartic polynomials with various Galois groups. A short time later P. Voutier added a cyclic…

math.NT2024★ 1 cited

On the monogenity of totally complex pure octic fields

István Gaál

Let $0, 1 \neq = m \in Z$ and $α = 8 m$ . According to the results of I. Gaál and L. El Fadil, $α$ generates a power integral basis in $K = Q (α)$ , if and only if $m$ is square-free an…