| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6417471 | Journal of Mathematical Analysis and Applications | 2016 | 12 Pages |
Abstract
Let A3(n) (resp. B3(n)) denote the number of partition pairs (resp. triples) of n where each partition is 3-core. By applying Ramanujan's Ï11 formula and Bailey's Ï66 formula, we find the explicit formulas for A3(n) and B3(n). Using these formulas, we confirm a conjecture of Xia and establish many arithmetic identities satisfied by A3(n) and B3(n).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Liuquan Wang,