M. Tang

activity

20112020

most citedOn a problem of Nathanson

15 citations · 17 across the 8 of their papers we have counts for

collaborators

9 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★ 2 cited

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…

math.NT2017★ 15 cited

On a problem of Nathanson

Yong-Gao Chen, Min Tang

A set $A$ of nonnegative integers is an asymptotic basis of order $h$ if every sufficiently large integer can be represented as the sum of $h$ integers (not necessarily distinct) o…

math.NT2013

Jeśmanowicz' conjecture and Fermat numbers

Min Tang, Jian-Xin Weng

Let $a, b, c$ be relatively prime positive integers such that $a^{2} + b^{2} = c^{2} .$ In 1956, Jeśmanowicz conjectured that for any positive integer $n$ , the only solution of $(an)^{x}+…

math.NT2012

Density of integral sets with missing differences

Quan-Hui Yang, Min Tang

Motzkin posed the problem of finding the maximal density $μ (M)$ of sets of integers in which the differences given by a set $M$ do not occur. The problem is already settled when $|…

math.NT2011

On the elementary symmetric functions of $1, 1/2, \dots, 1/ n$