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 this article we prove Sellers' conjecture for all powers of 5.
| Original language | English |
|---|---|
| Place of Publication | Schloss Hagenberg, 4232 Hagenberg |
| Publisher | RISC, JKU-Linz |
| Number of pages | 18 |
| Publication status | Published - 2009 |
Fields of science
- 101 Mathematics
- 101001 Algebra
- 101005 Computer algebra
- 101009 Geometry
- 101012 Combinatorics
- 101013 Mathematical logic
- 101020 Technical mathematics