In 1994, the following infinite family of congruences was conjectured for the partition function cφ 2 (n) which counts the number of 2-colored Frobenius partitions of n: for all n≥0 and a≥1, cφ 2 (5an+λa)=0 (mod5a), where λa is the least positive reciprocal of 12 modulo 5a. In this paper, the first four cases of this family are proved.
|Original language||English (US)|
|Number of pages||8|
|Journal||International Journal of Mathematics and Mathematical Sciences|
|State||Published - 2002|
All Science Journal Classification (ASJC) codes
- Mathematics (miscellaneous)