Arithmetics of binary quadratic forms, symmetry of their continued fractions and geometry of their de Sitter world
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Publication:1416090
DOI10.1007/s00574-003-0001-8zbMath1044.11016OpenAlexW2127582500MaRDI QIDQ1416090
Publication date: 2003
Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00574-003-0001-8
Continued fractions (11A55) Hyperbolic groups and nonpositively curved groups (20F67) Non-Euclidean differential geometry (53A35) Semigroups (20M99) General binary quadratic forms (11E16)
Related Items (11)
\(p\)-adic quotient sets. II: Quadratic forms ⋮ On binary quadratic forms with the semigroup property ⋮ Generalised Markov numbers ⋮ Continued fraction approach to Gauss reduction theory ⋮ Weighted Dirichlet spaces of harmonic functions on the real hyperbolic ball ⋮ On the Number of Perfect Binary Quadratic Forms ⋮ Represented value sets for integral binary quadratic forms and lattices ⋮ Projective geometry from Poisson algebras ⋮ Lobachevsky triangle altitudes theorem as the Jacobi identity in the Lie algebra of quadratic forms on symplectic plane ⋮ Stochastic and deterministic characteristics of orbits in chaotically looking dynamical systems ⋮ Symmetries of quadratic form classes and of quadratic surd continued fractions. I: A Poincaré tiling of the de Sitter world
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