تقرير
Waring's problem with restricted digits
| العنوان: | Waring's problem with restricted digits |
|---|---|
| المؤلفون: | Green, Ben |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory |
| الوصف: | Let $k \geq 2$ and $b \geq 3$ be integers, and suppose that $d_1, d_2 \in \{0,1,\dots, b - 1\}$ are distinct and coprime. Let $\mathcal{S}$ be the set of non-negative integers, all of whose digits in base $b$ are either $d_1$ or $d_2$. Then every sufficiently large integer is a sum of at most $b^{160 k^2}$ numbers of the form $x^k$, $x \in \mathcal{S}$. Comment: 32 pages, minor calculational adjustments lead to slightly worse constant than in first version |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2309.09383Test |
| رقم الانضمام: | edsarx.2309.09383 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |