Forests of complex numbers

DOI10.1142/S1793042117500026zbMath1394.05010arXiv1410.7478OpenAlexW3105617631WikidataQ114072005 ScholiaQ114072005MaRDI QIDQ3179500

Melvyn B. Nathanson

Publication date: 21 December 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.7478

zbMATH Keywords

linear fractional transformationssemigroup actionsCalkin-Wilf treetrees and forests

Mathematics Subject Classification ID

Trees (05C05) Combinatorial identities, bijective combinatorics (05A19) Semigroups of transformations, relations, partitions, etc. (20M20) Other combinatorial number theory (11B75) Continued fractions (11A55)

Related Items (2)

Left–right pairs and complex forests of infinite rooted binary trees ⋮ Orphans in forests of linear fractional transformations

Cites Work

• Unnamed Item
• A variation of the Stern-Brocot tree
• Two further generalizations of the Calkin-Wilf tree
• Free monoids and forests of rational numbers
• Linking the Calkin-Wilf and Stern-Brocot trees
• Orphans in forests of linear fractional transformations
• The \(q\)-Calkin-Wilf tree
• Recounting the Rationals
• The (u,v)-Calkin–Wilf forest
• Analogs of the Stern Sequence
• A POLYNOMIAL ANALOGUE TO THE STERN SEQUENCE
• Pairs of Matrices in <em>GL</em>₂(R_≥0) That Freely Generate
• A forest of linear fractional transformations
• FUNCTIONAL PEARL: Enumerating the rationals

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