Corpus ID: 235436001

# The \$(k,l)\$-Euler theorem and the combinatorics of \$(k,l)\$-sequences

```@inproceedings{Konan2021TheT,
title={The \\$(k,l)\\$-Euler theorem and the combinatorics of \\$(k,l)\\$-sequences},
author={Isaac Konan},
year={2021}
}```
In 1997, Bousquet-M\'elou and Eriksson stated a broad generalization of Euler's distinct-odd partition theorem, namely the \$(k,l)\$-Euler theorem. Their identity involved the \$(k,l)\$-lecture-hall partitions, which, unlike usual difference conditions of partitions in Rogers-Ramanujan type identities, satisfy some ratio constraints. In a 2008 paper, in response to a question suggested by Richard Stanley, Savage and Yee provided a simple bijection for the \$l\$-lecture-hall partitions (the case \$k=l… Expand