Artane Siad

activity

20202026

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

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.NT2026

The existence of infinitely many cubic fields with class group of exact 2-rank 1

Manjul Bhargava, Arul Shankar, Artane Siad +1

We show that infinitely many cubic fields have class group of 2-rank 1.

math.NT2025

Hecke reciprocity and class groups

Ari Shnidman, Artane Siad

We compute the average size of $Cl_{F} [2]$ in the family of cubic fields $F = Q (3 n)$ . Specifically, as $F$ varies over the subfamily of wildly (resp. tamel…

math.NT2025

Entropy of Cohen-Lenstra measures: the $u$ -aspect

Artane Siad

Let $H (ν_{CL}^{u})$ be the entropy of the Cohen-Lenstra measure on finite abelian $p$ -groups associated to an integral unit-rank $0 \leq u \in N$ . In thi…

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…

The existence of infinitely many cubic fields with class group of exact 2-rank 1

Hecke reciprocity and class groups

Entropy of Cohen-Lenstra measures: the u-aspect

Monogenic fields with odd class number Part II: even degree

Entropy of Cohen-Lenstra measures: the $u$ -aspect