On the sequence of fractional parts of the ratio of Fibonacci numbers 𝑥𝑛+1 = {︁((𝐹_(𝑛+1))/𝐹_𝑛)𝑥𝑛}︁
https://doi.org/10.22405/2226-8383-2023-24-3-242-250
Abstract
In this paper for the expension of real numbers on Fibonacci sequence theorems on the uniform distribution of remainders for almost of all real numbers in the sense of Lebesgue’s measure. the conclusion of this theorem is based on theWeyl’s criteria of the uniform distribution
of a sequence modulo unit and on the lemma.
About the Authors
Azar Giyasi
Allameh Tabataba’i University
Islamic Republic of Iran
Islamic Republic of Iran
candidate of physical and mathematical sciences
Ilya Petrovich Mikhailov
Kazan Aviation Institute
Russian Federation
Russian Federation
Vladimir Nikolaevich Chubarikov
Lomonosov Moscow State University
Russian Federation
Russian Federation
doctor of physical and mathematical sciences, professor
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Review
For citations:
Giyasi A., Mikhailov I.P., Chubarikov V.N. On the sequence of fractional parts of the ratio of Fibonacci numbers 𝑥𝑛+1 = {︁((𝐹_(𝑛+1))/𝐹_𝑛)𝑥𝑛}︁. Chebyshevskii Sbornik. 2023;24(3):242-250. (In Russ.) https://doi.org/10.22405/2226-8383-2023-24-3-242-250
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