Combinatorial properties of multidimensional continued fractions

DOI10.1016/j.disc.2023.113649zbMath1522.05009arXiv2209.08875OpenAlexW4385688909MaRDI QIDQ6056736

Giordano Santilli, Nadir Murru, Michele Battagliola

Publication date: 4 October 2023

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.08875

zbMATH Keywords

Jacobi-Perron algorithmtiling problemscontinued fractions and generalizations

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Continued fractions (11A55) Combinatorial aspects of tessellation and tiling problems (05B45)

Cites Work

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• Lattice paths and branched continued fractions. II: Multivariate Lah polynomials and Lah symmetric functions
• The Jacobi-Perron algorithm its theory and application
• An Arithmetic and Combinatorial Approach to Three-Dimensional Discrete Lines
• On $p$-adic multidimensional continued fractions
• A Combinatorial Interpretation of Ramanujan's Continued Fraction

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