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Diophantine approximation of polynomials over $\mathbb{F}_q[t]$ satisfying a divisibility condition
| Content Provider | Semantic Scholar |
|---|---|
| Author | Yamagishi, Shuntaro |
| Copyright Year | 2015 |
| Abstract | Let $\mathbb{F}_q[t]$ denote the ring of polynomials over $\mathbb{F}_q$, the finite field of $q$ elements. We prove an estimate for fractional parts of polynomials over $\mathbb{F}_q[t]$ satisfying a certain divisibility condition analogous to that of intersective polynomials in the case of integers. We then extend our result to consider linear combinations of such polynomials as well. |
| Starting Page | 1371 |
| Ending Page | 1390 |
| Page Count | 20 |
| File Format | PDF HTM / HTML |
| DOI | 10.1142/S1793042116500846 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1509.01560v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1142/S1793042116500846 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
