-д хадгалсан:
| Үндсэн зохиолчид: | , |
|---|---|
| Формат: | Preprint |
| Хэвлэсэн: |
2024
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| Нөхцлүүд: | |
| Онлайн хандалт: | https://arxiv.org/abs/2411.04449 |
| Шошгууд: |
Шошго нэмэх
Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!
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Агуулга:
- What is the maximum number of $r$-term sums admitting rational values in $n$-element sets of irrational numbers? We determine the maximum when $r<4$ or $r\geq n/2$ and also in case when we drop the condition on the number of summands. It turns out that the $r$-term sum problem is equivalent to determine the maximum number of $r$-term zero-sum subsequences in $n$-element sequences of integers, which can be seen as a variant of the famous Erdős-Ginzburg-Ziv theorem.