Hecke groups, linear recurrences, and Kepler limits

zbMath1467.11019arXiv1903.00419MaRDI QIDQ5244179

Barry Brent

Publication date: 20 November 2019

Full work available at URL: https://arxiv.org/abs/1903.00419

zbMATH Keywords

Kepler limits

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Structure of modular groups and generalizations; arithmetic groups (11F06) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• From Fibonacci sequence to the Golden ratio
• The minimal polynomial of \(2 \cos(\pi /q)\) and Dickson polynomials
• Limit of ratio of consecutive terms for general order-\(k\) linear homogeneous recurrences with constant coefficients
• On the constant term of the minimal polynomial of cos (2π/n) over Q
• Some Observations on Khovanskii's Matrix Methods for extracting Roots of Polynomials

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