Jiangtao Shi

collaborators

3 papers

math.NT2026

Lifting $L$ -polynomials of genus 2 curves

Jia Shi

Let $C$ be a genus $2$ curve over $Q$ . Harvey and Sutherland's implementation of Harvey's average polynomial-time algorithm computes the $mod p$ reduction of the numer…

math.NT2026

Lifting $L$ -polynomials of genus $3$ curves

Jia Shi

Let $C$ be a smooth plane quartic curve over $Q$ . Costa, Harvey and Sutherland provide an algorithm with an implementation, improving Harvey's average polynomial-time algo…

math.GR2025

A note on Frobenius quotient for prime-power divisor of the exponent of finite groups

Jiangtao Shi, Wenjing Liu

Let $G$ be a finite group and $n$ be any prime-power divisor of $exp (G)$ , the exponent of $G$ . Frobenius' theorem indicates that $∣ {g \in G ∣ g^{n} = 1} ∣ = f_{n} \cdot n$ for some…

Lifting L-polynomials of genus 2 curves

Lifting L-polynomials of genus 3 curves

A note on Frobenius quotient for prime-power divisor of the exponent of finite groups

Lifting $L$ -polynomials of genus 2 curves

Lifting $L$ -polynomials of genus $3$ curves