Huixi Li

activity

20192026

collaborators

Showing 2026Show all

4 papers · 1 filter

math.NT2026

$6$ powers of $2$ in the Linnik--Goldbach problem

Huixi Li, Zhixin Liu

Linnik's approximation to Goldbach's conjecture concerns the representation of sufficiently large even integers as the sum of two primes and a bounded number of powers of two. We p…

math.NT2026

A Romanoff-type theorem for $P_{2}$ +{ $a^{a}$ : a $\geq$ 1}

Yuchen Ding, Huixi Li, Junfeng Li

Let $Ω (n)$ denote the number of prime factors of $n$ , counted with multiplicity, and put $P_{2}$ ={ $m$ $\geq$ 1: $Ω (m)$ $\leq$ 2}. We prove that the sumset $P_{2}$ +{ $a^{a}$ : a $\geq$ 1} has po…

math.NT2026

Adjacent comparison bounds and extremal sets for Ruzsa numbers

Yuchen Ding, Huixi Li, Junfeng Li +2

Let $m$ be a positive integer and $Z_{m}$ the residue class ring modulo $m$ . The Ruzsa number $R_{m}$ is defined to be the least integer $r$ such that there is a subset $\math…

math.NT2026

An Improvement of Konstantoulas' Density Constant

Huixi Li, Zihan Zhang

Let $A \subset N$ , and define its ordered representation function $r (n) = # {(a, b) \in A \times A : a + b = n} .$ The Erdos--Turan conjecture asserts that, if $r (n) > 0$ for all sufficiently…

6 powers of 2 in the Linnik--Goldbach problem

A Romanoff-type theorem for P2​+{aa: a≥ 1}

Adjacent comparison bounds and extremal sets for Ruzsa numbers

An Improvement of Konstantoulas' Density Constant

$6$ powers of $2$ in the Linnik--Goldbach problem

A Romanoff-type theorem for $P_{2}$ +{ $a^{a}$ : a $\geq$ 1}