For more information about this meeting, contact Mary Anne Raymond.
| Title: | q-Tangent numbers and alternating permutations |
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| Seminar: | Combinatorics/Partitions Seminar |
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| Speaker: | Dr. Ae Ja Yee, Pennsylvania State University |
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| Abstract: |
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| 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 |
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| Date: | 01 / 22 / 2008 |
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| Time: | 11:15am - 12:05pm |
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