Abstract
We denote by spt(n) the total number of appearances of the smallest part in each integer partition of n. We shall relate spt(n) to the Atkin-Garvan moments of ranks, and we shall prove that 5 | spt(5n + 4), 7 | spt(7n + 5) and 13 | spt(13n + 6).
| Original language | English (US) |
|---|---|
| Pages (from-to) | 133-142 |
| Number of pages | 10 |
| Journal | Journal fur die Reine und Angewandte Mathematik |
| Issue number | 624 |
| DOIs | |
| State | Published - Nov 2008 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics
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