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 |