تقرير
Extended inverse theorems for $h$-fold sumsets in integers
| العنوان: | Extended inverse theorems for $h$-fold sumsets in integers |
|---|---|
| المؤلفون: | Mohan, Pandey, Ram Krishna |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, 11970, 11B75, 11B13 |
| الوصف: | Let $h \geq 2$, $k \geq 5$ be integers and $A$ be a nonempty finite set of $k$ integers. Very recently, Tang and Xing studied extended inverse theorems for $hk-h+1 < \left|hA\right| \leq hk+2h-3$. In this paper, we extend the work of Tang and Xing and study all possible inverse theorems for $hk-h+1<\left|hA\right| \leq hk+3h-4$. Furthermore, we give a range of $|hA|$ for which inverse problems are not possible. Comment: To be appear in contrib. discrete math., 17 pages, correct some typographical errors, Statement and proof of some results changed |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2401.04699 |
| رقم الأكسشن: | edsarx.2401.04699 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |