For more information about this meeting, contact Mary Anne Raymond.
| Title: | Partition Polynomials: Asymptotics and Zeros |
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| Seminar: | Combinatorics/Partitions Seminar |
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| Speaker: | Dr. Robert Boyer, Drexel |
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| Abstract: |
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| Let F_n (x) be the partition polynomial \sum_{k=1}^n p_k (n) x^k where p_k (n) is the number of partitions of n with k parts. We emphasize the computational experiments using degrees up to 70, 000 to discover the asymptotics of these polynomials. Surprisingly, the asymptotics of F_n (x) have two scales of orders n and \sqrt{n} in three different regimes inside the unit disk. Consequently, the zeros converge to a network of curves inside the unit disk given in terms of the dilogarithm. |
Room Reservation Information
| Room Number: | MB315 |
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| Date: | 09 / 11 / 2007 |
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| Time: | 03:35pm - 04:25pm |
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