Shenxing Zhang

activity

20122026

most cited

ℓ

-Class groups of fields in Kummer towers

10 citations · 11 across the 13 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.NT2020

The virtual periods of linear recurrence sequences in cyclotomic fields

Shenxing Zhang

A linear recurrence sequence in a cyclotomic field produces a sequence of the generating fields of each term. We show that the later sequence is periodic after removing the first f…

math.NT2020

The $3$ -class groups of $Q (3 p)$ and its normal closure

Jianing Li, Shenxing Zhang

We determine the $3$ -class groups of $Q (3 p)$ and $K = Q (3 p, - 3)$ when $p \equiv 4, 7 mod 9$ is a prime and $3$ is a cubic modulo $p$ . This co…

The virtual periods of linear recurrence sequences in cyclotomic fields

The 3-class groups of Q(3p​) and its normal closure

The $3$ -class groups of $Q (3 p)$ and its normal closure