For more information about this meeting, contact Robert Vaughan.
| Title: | Sum set v.s. difference set, and applications |
| Seminar: | Algebra and Number Theory Seminar |
| Speaker: | Gang Yu, Kent State University |
| Abstract: |
| For a positive integer $N$, and a subset $\mathcal{A}$ (with size $|\mathcal{A}|\asymp\sqrt{N}$) of integers in $[0,N]$, we consider the distributions of $\mathcal{A}+\mathcal{A}$ and $\mathcal{A}-\mathcal{A}$ over some short intervals. The comparison or combination of such distributions produces improvement over the existing bounds for some classic sets of integers in combinatorial number theory. |
Room Reservation Information
| Room Number: | MB106 |
| Date: | 12 / 13 / 2007 |
| Time: | 11:15am - 12:05pm |