Geometrization of the Fibonacci numeration system, with applications to number theory

DOI10.1090/S1061-0022-2014-01321-0zbMath1369.11013OpenAlexW2074566678MaRDI QIDQ2931185

A. V. Shutov, E. P. Davletyarova, A. A. Zhukova

Publication date: 24 November 2014

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2014-01321-0

zbMATH Keywords

ternary Goldbach problemgeometrization theoremFibonacci numeration system

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Other number representations (11A67)

Related Items (4)

Unnamed Item ⋮ ГЕОМЕТРИЗАЦИЯ СИСТЕМ СЧИСЛЕНИЯ ⋮ Unnamed Item ⋮ ГЕОМЕТРИЗАЦИЯ ОБОБЩЕННЫХ СИСТЕМ СЧИСЛЕНИЯ ФИБОНАЧЧИ И ЕЕ ПРИЛОЖЕНИЯ К ТЕОРИИ ЧИСЕЛ

Cites Work

• Inhomogeneous diophantine approximations and distribution of fractional parts
• One-dimensional quasiperiodic tilings admitting progressions enclosure
• Fibonacci multiplication
• On sums of fractional parts \(\{na+y\}\)
• Sums of squares over the Fibonacci ○-ring
• Metric spaces with linear extensions preserving Lipschitz condition
• One-dimensional Fibonacci tilings
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