Finding both, the continued fraction and the Laurent series expansion of golden ratio analogs in the field of formal power series

DOI10.1016/j.jnt.2020.11.010zbMath1468.11055arXiv2008.04518OpenAlexW3117861267MaRDI QIDQ2660316

Roswitha Hofer

Publication date: 29 March 2021

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

Full work available at URL: https://arxiv.org/abs/2008.04518

zbMATH Keywords

formal power seriesgolden ratioFibonacci polynomialsCatalan's triangular numbersLu-decomposition of regular Hankel matrices

Mathematics Subject Classification ID

Continued fractions (11A55) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Unnamed Item
• Point sets and sequences with small discrepancy
• Simple continued fractions for some irrational numbers. II
• Simple continued fractions for some irrational numbers
• A survey of Diophantine approximation in fields of power series
• Kronecker-Halton sequences in \(\mathbb{F}_p((X^{-1}))\)
• On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series
• Optimal L₂discrepancy bounds for higher order digital sequences over the finite field F₂
• The L 2 Discrepancy of Irrational Lattices
• Discrépance de suites associées à un système de numération (en dimension s)
• On continued fractions and diophantine approximation in power series fields
• Kronecker-type sequences and nonarchimedean diophantine approximations
• Generalized (t, s)-Sequences, Kronecker-Type Sequences, and Diophantine Approximations of Formal Laurent Series

This page was built for publication: Finding both, the continued fraction and the Laurent series expansion of golden ratio analogs in the field of formal power series