Jianya Liu

collaborators

3 papers

math.NT2026

Theorem $(1 + 1.9)$ on the Goldbach Conjecture

Jiamin Li, Jianya Liu

For $1 \leq a \leq 2$ , we say Proposition $(1 + a)$ holds if every sufficiently large even integer $N$ can be written as $N = p + r q, r \leq q^{a - 1},$ where $r$ is either $1$ …

math.NT2026

Multiple Gauss sums

Jianya Liu, Sizhe Xie

A multiple Gauss sum is a complete multiple exponential sum twisted by Dirichlet characters. We prove a new bound for multiple Gauss sums and, as an application, improve previous r…

math.NT2024

Forms in prime variables and differing degrees

Jianya Liu, Sizhe Xie

Let $F_{1}, \dots, F_{R}$ be homogeneous polynomials with integer coefficients in $n$ variables with differing degrees. Write $F = (F_{1}, \dots, F_{R})$ with $D$ being the maxima…

Theorem (1+1.9) on the Goldbach Conjecture

Multiple Gauss sums

Forms in prime variables and differing degrees

Theorem $(1 + 1.9)$ on the Goldbach Conjecture