Artane Siad

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20202026

most citedMonogenic fields with odd class number Part II: even degree

1 citations · 2 across the 7 of their papers we have counts for

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math.NT2020★ 1 cited

Monogenic fields with odd class number Part II: even degree

Artane Siad

In 1801, Gauss proved that there were infinitely many quadratic fields with odd class number. We generalise this result by showing that there are infinitely many $S_{n}$ -fields of an…

math.NT2020

Monogenicity and 2-torsion in the class group of number fields of odd degree

Artane Siad

We study the average $2$ -torsion in the class group of monogenised fields of odd degree. Bhargava--Hanke--Shankar have recently shown that for a fixed signature, the average number…