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

Title: | q-Tangent numbers and alternating permutations |

Seminar: | Combinatorics/Partitions Seminar |

Speaker: | Dr. Ae Ja Yee, Pennsylvania State University |

Abstract: |

The Euler number E_n counts the number of "alternating permutations" on [n]. It is well known that its exponential generating function equals Tan z + Sec z. For this reason, E_2n and E_2n+1 are called secant numbers and tangent numbers, respectively. Certain polynomials arising in series expansions for zeros of generalized Rogers-Ramanujan functions provide a q-analog of the tangent numbers, which is part of a wider class of polynomials with similar combinatorial interpretations. In this talk, we will discuss various q-tangent numbers. This is joint work with Tim Huber from Iowa State. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 01 / 22 / 2008 |

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