Generalised Markov numbers
From MaRDI portal
Publication:2182151
DOI10.1016/j.jnt.2020.01.010zbMath1454.11127arXiv1809.01688OpenAlexW3005734127WikidataQ114157206 ScholiaQ114157206MaRDI QIDQ2182151
Matty van Son, Oleg N. Karpenkov
Publication date: 21 May 2020
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.01688
Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Continued fractions and generalizations (11J70) Markov and Lagrange spectra and generalizations (11J06) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Determination of periods of geometric continued fractions for two-dimensional algebraic hyperbolic operators
- On a generalization of Markoff's theory.
- On irrational lattice angles
- The geometry of Markoff numbers
- Higher dimensional continued fractions
- On Perrine's generalized Markoff equations
- Arithmetics of binary quadratic forms, symmetry of their continued fractions and geometry of their de Sitter world
- Continued fractions, modular symbols, and noncommutative geometry
- Generalized Perron identity for broken lines
- Palindromic sequences of the Markov spectrum
- Conway river and Arnold sail
- Approach to Markoff's minimal forms through modular functions
- Markov's Theorem and 100 Years of the Uniqueness Conjecture
- Elementary notions of lattice trigonometry
- Growth of values of binary quadratic forms and Conway rivers
- Lyapunov spectrum of Markov and Euclid trees
- Attainable numbers and the Lagrange spectrum
- Representation of Markoff's binary quadratic forms by geodesics on a perforated torus
- On the product of three homogeneous linear forms
- On the Product of Three Homogeneous Linear Forms (II)
- Geometry of continued fractions
This page was built for publication: Generalised Markov numbers
