For more information about this meeting, contact Matthew Katz, James Sellers, George Andrews.
| Title: | On the Parity of the Number of Parts in Distinct-Part Partitions |
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| Seminar: | Combinatorics/Partitions Seminar |
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| Speaker: | James Sellers, PSU |
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| Abstract: |
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| We will consider relatively recent work by Knopfmacher and Robbins related to the function s(n) which counts the *number* of parts in distinct-part partitions of n. Interestingly enough, the function s(n) has a strong tendency to be even (although it is not clear, a priori, that this should be so). We will shed light on why this phenomenon occurs and then close by proving a number of Ramanujan-like congruences modulo 2 satisfied by s(n) using elementary means. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 03 / 19 / 2013 |
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| Time: | 11:15am - 12:05pm |
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