Peter Paule, Silviu Radu,
"A Proof of Sellers' Conjecture"
, Nummer 09-17, RISC, JKU Linz, Schloss Hagenberg, 4232 Hagenberg, 2009
A Proof of Sellers' Conjecture
Sprache des Titels:
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 this article we prove Sellers' conjecture for all powers of 5.