On q-Deformed Real Numbers

DOI10.1080/10586458.2019.1671922zbMath1500.11006arXiv1908.04365OpenAlexW3103973534MaRDI QIDQ5094497

Sophie Morier-Genoud, Valentin Ovsienko

Publication date: 3 August 2022

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

Full work available at URL: https://arxiv.org/abs/1908.04365

zbMATH Keywords

total positivity\(q\)-continued fractionsFarey tessellation\(q\)-rationals

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Continued fractions (11A55)

Related Items (7)

Fast computation of the \(N\)-th term of a \(q\)-holonomic sequence and applications ⋮ Shadows of rationals and irrationals: supersymmetric continued fractions and the super modular group ⋮ Corrigendum to: ``On radiuses of convergence of \(q\)-metallic numbers and related \(q\)-rational numbers ⋮ q-deformed rational numbers and the 2-Calabi–Yau category of type ⋮ \(q\)-rational and \(q\)-real binomial coefficients ⋮ Quantum continuants, quantum rotundus and triangulations of annuli ⋮ Rank polynomials of fence posets are unimodal

Uses Software

• OEIS

Cites Work

• Unnamed Item
• The Rogers-Ramanujan continued fraction
• Farey boat: continued fractions and triangulations, modular group and polygon dissections
• -DEFORMED RATIONALS AND -CONTINUED FRACTIONS

This page was built for publication: On q-Deformed Real Numbers