Hyperbolas over two-dimensional Fibonacci quasilattices

DOI10.1007/s10958-012-0751-1zbMath1273.11057OpenAlexW2166183479MaRDI QIDQ690559

V. G. Zhuravlev

Publication date: 28 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0751-1

zbMATH Keywords

diagonal quadratic formsPell equation over Fibonacci ringtwo-dimensional Fibonacci quasilattices

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Quadratic and bilinear Diophantine equations (11D09) Counting solutions of Diophantine equations (11D45) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (2)

Unnamed Item ⋮ Symmetrization of bounded remainder sets

Cites Work

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• On the computation of units and class numbers by a generalization of Lagrange's algorithm
• The number of representations of an integer by a quadratic form.
• Units in some parametric families of quartic fields
• Sums of squares over the Fibonacci ○-ring
• On Effective Computation of Fundamental Units. II
• The representation of integers as sums of squares
• One-dimensional Fibonacci tilings
• Quadratic Diophantine equations, the class number, and the mass formula

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