Continued Fractions for partition generating functions
Combinatorics
2023-01-31 v1
Abstract
We derive continued fractions for partition generating functions, utilizing both Euler's techniques and Ramanujan's techniques. Although our results are for integer partitions there is scope to extend this work to vector partitions, including for binary and n-ary partitions.
Cite
@article{arxiv.2301.12945,
title = {Continued Fractions for partition generating functions},
author = {Geoffrey B. Campbell},
journal= {arXiv preprint arXiv:2301.12945},
year = {2023}
}
Comments
16 pages