Arxiv
| Presentation Name： | Arithmetic properties of Piatetski-Shapiro sequences |
|---|---|
| Presenter： | 郭振宇 |
| Date： | 2021-07-27 |
| Location： | 光华东主楼1801 |
| Abstract🫴🏻👑： | The Piatetski-Shapiro sequences are of the form $[n^c]$, which is an intermediate problem of the conjecture that there exist infinitely many primes of the form $n^2+1$. In this talk, I will introduce the classical results of this topic. I will also show our recent theorem about the infinity of the primes in the intersection of a Piatetski-Shapiro sequence and multiple Beatty sequences with a sketch of our proof. |
| Annual Speech Directory🐧： | No.204 |
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