For more information about this meeting, contact Robert Vaughan.

Title: | Sets with Integral Distances in Finite Fields |

Seminar: | Algebra and Number Theory Seminar |

Speaker: | Maosheng Xiong, Penn State University |

Abstract: |

This is joint work with Iosevich and Shparlinski. Given a positive integer $n$, a finite field $F$ of $q$ elements ($q$ odd), and a non-degenerate quadratic form $Q$ on $FF$, we study the largest possible cardinality of subsets $E subseteq FF$ with pairwise integral $Q$-distances, that is, for any two vectors $x=(x_1, ldots,x_n),y=(y_1,ldots,y_n) in E$, one has
[Q(x-y)=u^2] for some $u in F$. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 10 / 02 / 2008 |

Time: | 11:15am - 12:05pm |