On integer partitions and continued fraction type algorithms

DOI10.1007/s11139-023-00791-5arXiv2109.08962OpenAlexW3201368007MaRDI QIDQ6122743

Alessio Del Vigna, Stefano Isola, Wael Baalbaki, Claudio Bonanno, Thomas Garrity

Publication date: 1 March 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.08962

zbMATH Keywords

continued fractionsinteger partitionsFarey tree

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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the number of partitions of \(n\) into \(k\) different parts
• The quality of the diophantine approximations found by the Jacobi--Perron algorithm and related algorithms
• Substitutions in dynamics, arithmetics and combinatorics
• Multidimensional continued fractions and a Minkowski function
• A set of sequences of complexity \(2n+1\)
• 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
• A generalized family of multidimensional continued fractions: TRIP Maps
• Orderings of the rationals and dynamical systems
• Mesures de Gauss pour des algorithmes de fractions continues multidimensionnelles
• Generalizing the Minkowski question mark function to a family of multidimensional continued fractions
• 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: On integer partitions and continued fraction type algorithms