EXTENDED INVERSE THEOREMS FOR h-FOLD SUMSETS IN INTEGERS

被引：0

作者：

Mohan ^{[1
]}

Pandey, Ram Krishna ^{[1
]}

机构：

[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttarakhand, India

来源：

CONTRIBUTIONS TO DISCRETE MATHEMATICS | 2023年 / 18卷 / 02期

关键词：

Sumset; h-fold sumset; inverse problem; extended inverse problem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let h >= 2, k >= 5 be integers and A be a nonempty finite set of k integers. Very recently, Tang and Xing studied extended inverse theorems for hk - h + 1 < |hA| < hk + 2h - 3. In this paper, we extend the work of Tang and Xing and study all possible inverse theorems for hk - h + 1 <= |hA| < hk + 2h + 1. Furthermore, we give a range of |hA| for which inverse problems are not possible.

引用

页码：129 / 145

页数：17