ГЕОМЕТРИЗАЦИЯ СИСТЕМ СЧИСЛЕНИЯ

DOI10.22405/2226-8383-2017-18-4-221-244zbMath1468.11026OpenAlexW2801736674MaRDI QIDQ5108825

A. A. Zhukova, A. V. Shutov

Publication date: 6 May 2020

Published in: Чебышевский сборник (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb607

zbMATH Keywords

numeration systemsgeometrization theoremOstrowski-Zeckendorf representation

Mathematics Subject Classification ID

Other number representations (11A67)

Cites Work

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• Inhomogeneous diophantine approximations and distribution of fractional parts
• One-dimensional quasiperiodic tilings admitting progressions enclosure
• Fibonacci multiplication
• Traveling waves of the regularized short pulse equation
• Geometrization of the Fibonacci numeration system, with applications to number theory
• One-dimensional Fibonacci quasilattices and their application to the Euclidean algorithm and Diophantine equations
• Fibonacci-even numbers: Binary additive problem, distribution over progressions, and spectrum
• Sums of squares over the Fibonacci ○-ring
• ГЕОМЕТРИЗАЦИЯ ОБОБЩЕННЫХ СИСТЕМ СЧИСЛЕНИЯ ФИБОНАЧЧИ И ЕЕ ПРИЛОЖЕНИЯ К ТЕОРИИ ЧИСЕЛ
• One-dimensional Fibonacci tilings

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