An Overview of Generalized Frobenius Partitions

Combinatorics/Partitions Seminar

Meeting Details

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Speaker: Dr. James Sellers, Penn State

Abstract: In 1984, George Andrews wrote an AMS Memoir entitled "Generalized Frobenius Partitions" in which he studied two families of partitions functions which naturally generalize ordinary partitions. As he notes in the introduction of the Memoir, he was motivated to consider these generalized Frobenius partitions, or F-partitions for short, while working with Rodney Baxter on Regime III of the Hard Hexagon Model in statistical mechanics. F-partitions also are of natural significance in group representation theory and elliptic theta functions. In the early 1990s, I became very interested in Ramanujan-like congruences that are satisfied by F-partitions (some of which were proven by Andrews in his Memoir). In this talk, I will focus on several of these congruence results with the goal of introducing this subject to our seminar group. In the process, I hope to provide sufficient background for our group in preparation for Peter Paule's seminar talk next week.

Room Reservation Information

Room Number: 106 McAllister

Date: 10/20/2009

Time: 11:15am - 12:05pm