Wythoff pairs as semigroup invariants

DOI10.1016/0001-8708(91)90050-HzbMath0728.11035OpenAlexW2037849133MaRDI QIDQ804623

Kenneth B. Stolarsky, Horacio Porta

Publication date: 1991

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(91)90050-h

zbMATH Keywords

transformationsmatricesgolden ratiomultiplicative semigroupWythoff pairs

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Distribution modulo one (11J71)

Related Items (9)

Associativity of recurrence multiplication ⋮ The almost PV behavior of some far from PV algebraic integers ⋮ A note on a result of Abercrombie ⋮ A golden iterated map number system: Results and conjectures ⋮ Beatty sequences and prime numbers with restrictions on strongly \(q\)-additive functions ⋮ Iterated Floor Function, Algebraic Numbers, Discrete Chaos, Beatty Subsequences, Semigroups ⋮ Semigroups and the self-similar structure of the flipped Tribonacci substitution ⋮ Positive factors of Wythoff matrices ⋮ A prelude to the 3x+1 problem

Cites Work

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• Generalizations of the Bellavitis partition identities
• A generalization of Wythoff's game
• A Generalization of Wythoff's Game^*
• Beatty Sequences, Continued Fractions, and Certain Shift Operators

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