Jianing Li

activity

20162026

most cited

ℓ

-Class groups of fields in Kummer towers

10 citations · 16 across the 12 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.NT2019

On Class Numbers of Pure Quartic fields

Jianing Li, Yue Xu

Let $p$ be a prime. The $2$ -primary part of the class group of the pure quartic field $Q (4 p)$ has been determined by Parry and Lemmermeyer when $p \not\equiv \pm…

math.NT2019★ 10 cited

$ℓ$ -Class groups of fields in Kummer towers

Jianing Li, Yi Ouyang, Yue Xu +1

Let $ℓ$ and $p$ be prime numbers and $K_{n, m} = Q (p^{\frac{1}{ℓ ^{n}}}, ζ_{2 ℓ^{m}})$ . We study the $ℓ$ -class group of $K_{n, m}$ in this paper. When $ℓ = 2$ , we dete…

On Class Numbers of Pure Quartic fields

ℓ-Class groups of fields in Kummer towers

$ℓ$ -Class groups of fields in Kummer towers