Cite this article as:

Rakhmonov P. Z. On the class of exponentially growing sequences that are not uniformly distributed modulo one . Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2013, vol. 13, iss. 4, pp. 117-120. DOI: https://doi.org/10.18500/1816-9791-2013-13-4-117-120

Language: 
Russian
Heading: 
Mathematics
UDC: 
511.325

On the class of exponentially growing sequences that are not uniformly distributed modulo one

Authors: 
Rakhmonov Parviz Zarulloevich, M. V. Lomonosov Moscow State University, 119991, Russia, 119991, Leninskie Gory, 1 , parviz.msu@gmail.com
Abstract: 

The paper presents a family of exponentially growing but not uniformly distributed sequences modulo one.

Key words: 
uniform distrubtion modulo one, Fibonacci numbers, golden ratio, homographic transformation.
DOI: 
https://doi.org/10.18500/1816-9791-2013-13-4-117-120
References
1. Weyl H. ¨Uber die Gleichverteilung von Zahlen mod. Eins. // Math. Ann. 1916. Vol. 77. P. 313–352. DOI: 10.1007/BF01475864.
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