Abstract
Motivated by two Legendre-type formulas for overpartitions, we derive a variety of their companions as Legendre theorems for overpartition pairs. This leads to equalities of subclasses of overpartitions and overpartition pairs.
| Original language | English |
|---|---|
| Pages (from-to) | 1757-1776 |
| Number of pages | 20 |
| Journal | International Journal of Number Theory |
| Volume | 21 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - Sept 1 2025 |
Keywords
- Bailey pair
- Integer partitions
- overpartition pairs
- overpartitions
- q-series
ASJC Scopus subject areas
- Algebra and Number Theory
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