2 papers
math.CO2022
Generating New Partition Identities via a Generalized Continued Fraction Algorithm
Wael Baalbaki, Thomas Garrity
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 parti…
math.NT2021
On integer partitions and continued fraction type algorithms
Wael Baalbaki, Claudio Bonanno, Alessio Del Vigna +2
We show that the additive-slow-Farey version of the traditional continued fractions algorithm has a natural interpretation as a method for producing integer partitions of a positiv…