M. Tang

activity

20182020

collaborators

5 papers

math.NT2020

On a subset sums problem of Chen and Wu

Min Tang, Hongwei Xu

For a set $A$ , let $P (A)$ be the set of all finite subset sums of $A$ . We prove that if a sequence $B = {11 \leq b_{1} < b_{2} < \dots}$ satisfies $b_{2} = 3 b_{1} + 5$ , $b_{3} = 3 b_{2} + 2$ and $b_{n+1}=3…

math.NT2020

On an inverse problem in additive number theory

Min Tang, Hongwei Xu

For a set $A$ , let $P (A)$ be the set of all finite subset sums of $A$ . In this paper, for a sequence of integers $B = {1 < b_{1} < b_{2} < \dots}$ and $3 b_{1} + 5 \leq b_{2} \leq 6 b_{1} + 10$ , we deter…

math.NT2019

Some inverse results of sumsets

Min Tang, Yun Xing

Let $h \geq 2$ and $A = {a_{0}, a_{1}, \dots, a_{k - 1}}$ be a finite set of integers. It is well-known that $∣ h A ∣ = hk - h + 1$ if and only if $A$ is a $k$ -term arithmetic progression…

math.NT2018

On asymptotic bases and minimal asymptotic bases

Min Tang, Deng-Rong Ling

Let $N$ denote the set of all nonnegative integers and $A$ be a subset of $N$ . Let $h \geq 2$ and let $r_h(A,n)=\sharp \{ (a_1,\ldots,a_h)\in A^{h}: a_1+\cdots+a_h=…

math.NT2018

The restricted sumsets in $Z_{n}$

Min Tang, Meng-Ting Wei

Let $h \geq 2$ be a positive integer. For any subset $A \subset Z_{n}$ , let $h^{\land} A$ be the set of the elements of $Z_{n}$ which are sums of $h…

On a subset sums problem of Chen and Wu

On an inverse problem in additive number theory

Some inverse results of sumsets

On asymptotic bases and minimal asymptotic bases

The restricted sumsets in Zn​

The restricted sumsets in $Z_{n}$