A Proof of Sellers' Conjecture
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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
Time: 11:15am - 12:05pm