Hongze Li

activity

20062022

most citedBounded gaps between primes of the special form

10 citations · 22 across the 15 of their papers we have counts for

collaborators

15 papers

math.CO2022

A new type of degenerate poly-Euler polynomials

Yuankui Ma, Taekyun Kim, Hongze Li

Many mathematicians have been studying various degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects. Our main focus here is a new typ…

math.NT2019★ 2 cited

The Green-Tao theorem for Piatetski-Shapiro primes

Hongze Li, Hao Pan

Let $m \geq 3$ . Suppose that $1 - 2^{- 2^{m^{2} 4^{m}}} < γ < 1.$ Then the set ${p prime : p = [n^{\frac{1}{γ}}] for some n \in N}$ contains infinitely many non-trivi…

math.NT2016

The large $k$ -term progression-free sets in $Z_{q}^{n}$

Hongze Li

Let $k$ and $n$ be fixed positive integers. For each prime power $q ⩾ k ⩾ 3$ , we show that any subset $A \subseteq Z_{q}^{n}$ free of $k$ -term arithmetic progress…

math.NT2016

Small gaps between the Piatetski-Shapiro primes

Hongze Li, Hao Pan

Suppose that $1 < c < 9/8$ . For any $m \geq 1$ , there exist infinitely many $n$ such that ${[n^{c}], [(n + 1)^{c}], \dots, [(n + k_{0})^{c}]}$ contains at least $m + 1$ primes, if $k_{0}$ is…

math.NT2014★ 10 cited

Bounded gaps between primes of the special form

Hongze Li, Hao Pan

For each $m \geq 1$ , there exist infinitely many primes $p_{1} < p_{2} < \dots < p_{m + 1}$ such that $p_{m + 1} - p_{1} = O (m^{4} e^{8 m})$ and $p_{j} + 2$ has at most $\frac{16m}{\log 2}+\frac{5\log m}{\log…

math.NT2012

On sums of subsets of Chen primes

Zhen Cui, Hongze Li, Boqing Xue

In this paper we show that if $A$ is a subset of Chen primes with positive relative density $α$ , then $A + A$ must have positive upper density at least $cαe^{-c^\prime\log(1/α)^{2/3}…

A new type of degenerate poly-Euler polynomials

The Green-Tao theorem for Piatetski-Shapiro primes

The large k-term progression-free sets in Zqn​

Small gaps between the Piatetski-Shapiro primes

Bounded gaps between primes of the special form

On sums of subsets of Chen primes

The large $k$ -term progression-free sets in $Z_{q}^{n}$