Generating new partition identities via a generalized continued fraction algorithm

DOI10.37236/12178arXiv2212.02369OpenAlexW4391271758WikidataQ129276689 ScholiaQ129276689MaRDI QIDQ6117426

Thomas Garrity, Wael Baalbaki

Publication date: 19 February 2024

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.02369

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Elementary theory of partitions (11P81) Dynamical systems involving maps of the interval (37E05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A slow triangle map with a segment of indifferent fixed points and a complete tree of rational pairs
• Ergodic properties of triangle partitions
• Simplicity of spectra for certain multidimensional continued fraction algorithms
• Mesures de Gauss pour des algorithmes de fractions continues multidimensionnelles
• Representation and coding of rational pairs on a triangular tree and Diophantine approximation in $\mathbb R^2$
• On the second Lyapunov exponent of some multidimensional continued fraction algorithms
• Geometry of continued fractions
• On periodic sequences for algebraic numbers

This page was built for publication: Generating new partition identities via a generalized continued fraction algorithm