Ila Varma

activity

20112026

most citedOn the mean number of 2-torsion elements in the class groups, narrow class groups, and ideal groups of cubic orders and fields

29 citations · 80 across the 13 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.NT2016

The mean number of 3-torsion elements in ray class groups of quadratic fields

Ila Varma

We determine the average number of $3$ -torsion elements in the ray class groups of fixed (integral) conductor $c$ of quadratic fields ordered by absolute discriminant, generalizing…

math.NT2016★ 21 cited

Odd degree number fields with odd class number

Wei Ho, Arul Shankar, Ila Varma

For every odd integer $n \geq 3$ , we prove that there exist infinitely many number fields of degree $n$ and associated Galois group $S_{n}$ whose class number is odd. To do so, we st…