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

14 papers

math.CO2026

Existence of generalized bent functions in the exceptional $q \equiv 2 (mod 4)$ , odd-dimensional case

Jianing Li, Shi Ying, Shenxing Zhang

We resolve an open problem of Kumar, Scholtz, and Welch (1985) by constructing generalized bent functions from $(Z / q Z)^{m}$ to $Z / q Z$ in the excep…

cs.CR2026

Principal ideal problem and ideal shortest vector over rational primes in power-of-two cyclotomic fields

Gaohao Cui, Jianing Li, Jincheng Zhuang

The shortest vector problem (SVP) over ideal lattices is closely related to the Ring-LWE problem, which is widely used to build post-quantum cryptosystems. Power-of-two cyclotomic…

math.NT2025

Stabilization on ideal class groups in potential cyclic towers

Jianing Li

Let $p$ be a prime and let $F$ be a number field. Consider a Galois extension $K / F$ with Galois group $H ⋊ Δ$ where $H ≅ Z_{p}$ or $Z / p^{d} Z$ , and $Δ…

math.NT2021★ 1 cited

Factorization of Hilbert class polynomials over prime fields

Jianing Li, Songsong Li, Yi Ouyang

Let $D$ be a negative integer congruent to $0$ or $1 mod 4$ and $O = O_{D}$ be the corresponding order of $K = Q (D)$ . The Hilbert class polynomial…

math.NT2021★ 1 cited

On the $λ$ -invariant of Selmer groups arising from certain quadratic twists of Gross curves

Jianing Li

Let $q$ be a prime with $q \equiv 7 mod 8$ , and let $K = Q (- q)$ . Then $2$ splits in $K$ , and we write $p$ for either of the primes $K$ above $2$ . Let $K_\…

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…

Existence of generalized bent functions in the exceptional q≡2(mod4), odd-dimensional case

Principal ideal problem and ideal shortest vector over rational primes in power-of-two cyclotomic fields

Stabilization on ideal class groups in potential cyclic towers

Factorization of Hilbert class polynomials over prime fields

On the λ-invariant of Selmer groups arising from certain quadratic twists of Gross curves

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

Existence of generalized bent functions in the exceptional $q \equiv 2 (mod 4)$ , odd-dimensional case

On the $λ$ -invariant of Selmer groups arising from certain quadratic twists of Gross curves

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