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

Title: | The Working Principles of Omega Package and Magic Squares |

Seminar: | Combinatorics/Partitions Seminar |

Speaker: | Kagan Kursungoz, Penn State |

Abstract: |

Continuation of the series of seminars on MacMahon's Partition Analysis as studied and further developed by Andrews, Paule and collaborators. We will present parts of the following two papers:
MacMahon's Partition Analysis III: The Omega Package, G.E. Andrews, P. Paule, A. Riese, Europ. J. Combinatorics, 22:887-904 (2001),
MacMahon's Partition Analysis V: Bijections, Recursions, and Magic Squares, G.E. Andrews, P. Paule, A. Riese, V. Strehl, Algebraic Combinatorics and Applications, Proceedings of the Euroconference ALCOMA, held in GĂ¶ssweinstein, Germany, A. Betten et al. ed.s (1999).
We will first describe the fundamental working principle of the computer implementation (by Axel Riese) of MacMahon's omega operator, then give a refinement of it which deals extensively with Diophantine equations (vs. Diophantine inequalities, which we have been discussing so far). We will briefly mention how the Omega package is used, but without an actual demonstration. We will then sketch the steps in obtaining the generating function of 3x3 magic squares. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 04 / 06 / 2010 |

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