A Proof of Sellers' Conjecture

Combinatorics/Partitions Seminar

Meeting Details

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Speaker: Dr. Peter Paule, Research Institute for Symbolic Computation, University of Linz, Austria

Abstract: In 1994 James Sellers conjectured an infinite family of Ramanujan type congruences for 2-colored Frobenius partitions introduced by George E. Andrews. These congruences arise modulo powers of 5. In 2002 Dennis Eichhorn and Sellers were able to settle the conjecture for powers up to 4. In joint work with Silviu Radu (RISC) we were able to prove Sellers' conjecture for all powers of 5.

Room Reservation Information

Room Number: 106 McAllister

Date: 10/27/2009

Time: 11:15am - 12:05pm