For more information about this meeting, contact Mary Anne Raymond.

Title: | Congruences Modulo High Powers of 2 for Sloaneās Box Stacking Function |

Seminar: | Combinatorics/Partitions Seminar |

Speaker: | Dr. James Sellers, Department of Mathematics, The Pennsylvania State University |

Abstract: |

The focus of this talk will be on congruences satisfied by
various integer partition functions. I will share some history, starting
with R.F. Churchhouse's work in the late 1960's on the binary partition
function. I will also discuss work of Rodseth, Andrews, and Gupta in the
1970's on results for m-ary partitions which are natural generalizations
of binary partitions.(An m-ary partition of a positive integer n is a
nonincreasing sequence of powers of m which sum to n. So, for example,
9+9+3+1+1+1 is a 3-ary partition of the integer 24.) I will then discuss
work I completed with Rodseth (in the last decade or so) which
generalizes the results of Andrews and Gupta from the 1970's. I will
close with a set of "applications" of m-ary partitions to Neil Sloane's
questions on non-squashing stacks of boxes, along with extremely new
results obtained with Rodseth which have recently been accepted for
publication. The talk will be self-contained and geared for a general
audience. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 10 / 14 / 2008 |

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