English

Generating New Partition Identities via a Generalized Continued Fraction Algorithm

Combinatorics 2022-12-06 v1 Number Theory

Abstract

Using the slow triangle map (a type of multi-dimensional continued fraction algorithm), we exhibit a method for generating any number of new identities for subsets of integer partitions.

Keywords

Cite

@article{arxiv.2212.02369,
  title  = {Generating New Partition Identities via a Generalized Continued Fraction Algorithm},
  author = {Wael Baalbaki and Thomas Garrity},
  journal= {arXiv preprint arXiv:2212.02369},
  year   = {2022}
}

Comments

29 pages

R2 v1 2026-06-28T07:22:35.085Z