تقرير
On a problem of Nathanson on non-minimal additive complements
| العنوان: | On a problem of Nathanson on non-minimal additive complements |
|---|---|
| المؤلفون: | Chen, Shi--Qiang, Ding, Yuchen |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory |
| الوصف: | Let $C$ and $W$ be two sets of integers. If $C+W=\mathbb{Z}$, then $C$ is called an additive complement to $W$. We further call $C$ a minimal additive complement to $W$ if no proper subset of $C$ is an additive complement to $W$. Answering a problem of Nathanson in part, we give sufficient conditions of $W$ which has no minimal additive complements. Our result also extends the prior result of Chen and Yang. Comment: comments are welcomed! |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.04388 |
| رقم الأكسشن: | edsarx.2407.04388 |
| قاعدة البيانات: | arXiv |
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