On Chebyshev polynomials, noncongruence subgroups of the modular group, and Fibonacci numbers

DOI10.1007/BF01371041zbMath0423.10016MaRDI QIDQ1134180

Gerhard Rosenberger

Publication date: 1980

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163338

zbMATH Keywords

Chebyshev polynomialsFibonacci numbersnoncongruence subgroups of the modular group

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Recurrences (11B37) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Cubic and quartic Diophantine equations (11D25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (2)

On the generalized Hurwitz equation and the Baragar-Umeda equation ⋮ Certain maximal characteristic subgroups of the free group of rank 2

Cites Work

• Unnamed Item
• Unnamed Item
• Über Dedekindsche Summen und Untergruppen der Modulgruppe
• Über eine Klasse von arithmetisch definierbaren Normalteilern der Modulgruppe
• An extension of F. Klein's level concept
• Fuchssche Gruppen, die freies Produkt zweier zyklischer Gruppen sind, und die Gleichung \(x^2+y^2+z^2=xyz\).
• Minimum of quadratic forms with respect to Fuchsian groups. I.

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