Jianing Li

activity

20172020

collaborators

5 papers

math.NT2020

Classical Iwasawa theory and infinite descent on a family of abelian varieties

John Coates, Jianing Li, Yongxiong Li

For primes $q \equiv 7 mod 16$ , the present manuscript shows that elementary methods enable one to prove surprisingly strong results about the Iwasawa theory of the Gross family o…

math.NT2020

On the $2$ -adic logarithm of units of certain totally imaginary quartic fields

Jianing Li

In this paper, we prove a result on the $2$ -adic logarithm of the fundamental unit of the field $Q (4 - q)$ , where $q \equiv 3 mod 4$ is a prime. When $q\equiv 15\b…

math.NT2020

The Chevalley-Gras formula over global fields

Jianing Li, Chia-Fu Yu

In this article we give an adelic proof of the Chevalley-Gras formula for global fields, which itself is a generalization of the ambiguous class number formula. The idea is to redu…

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.NT2017

A Note on Nonvanishing Properties on Mod $ℓ$ Drichlet $L$ -values and Application to K-groups

Jianing Li

Let $F$ be a number field. Let $p$ be a prime number. Washington proved the $ℓ$ -part of the class numbers in cyclotomic $Z_{p}$ extension of $F$ is bounded when $F$ is an…

Classical Iwasawa theory and infinite descent on a family of abelian varieties

On the 2-adic logarithm of units of certain totally imaginary quartic fields

The Chevalley-Gras formula over global fields

On Class Numbers of Pure Quartic fields

A Note on Nonvanishing Properties on Mod ℓ Drichlet L-values and Application to K-groups

On the $2$ -adic logarithm of units of certain totally imaginary quartic fields

A Note on Nonvanishing Properties on Mod $ℓ$ Drichlet $L$ -values and Application to K-groups