PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact James Sellers, Stephanie Zerby, Matthew Katz, George Andrews.

Title:Infinitely Many Congruences Modulo 5 for 4-Colored Frobenius Partitions
Seminar:Combinatorics/Partitions Seminar
Speaker:James Sellers, Penn State
Abstract:
In his 1984 AMS Memoir, Andrews introduced the family of functions c\phi_k(n), which denotes the number of generalized Frobenius partitions of n into k colors. Recently, Baruah and Sarmah, Lin, Sellers, and Xia established several Ramanujan-like congruences for c\phi_4(n) relative to different moduli. In this paper, which is joint work with Michael D. Hirschhorn of UNSW, we employ classical results in q-series, the well-known theta functions of Ramanujan, and elementary generating function manipulations to prove a characterization of c\phi_4(10n+1) modulo 5 which leads to an infinite set of Ramanujan-like congruences modulo 5 satisfied by c\phi_4. This work greatly extends the recent work of Xia on c\phi_4 modulo 5.

Room Reservation Information

Room Number:MB106
Date:12 / 02 / 2014
Time:11:15am - 12:05pm