Huixi Li

collaborators

4 papers

math.NT2026

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

Yuchen Ding, Huixi Li, Junfeng Li

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

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…

math.NT2025

Note on a conjecture of SÃ¡rkÃ¶zy on special sequences

Yuchen Ding, Huixi Li, Zihan Zhang

Let $I^\pm > 1$ be an irrational number and $k \geq 2$ a positive integer. Let $f (x)$ be a polynomial with positive integer coefficients. Solving a 2001 problem of SÃ¡rkÃ¶zy on special se…

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

Adjacent comparison bounds and extremal sets for Ruzsa numbers

An Improvement of Konstantoulas' Density Constant

Note on a conjecture of SÃ¡rkÃ¶zy on special sequences

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