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References
|
|
| |
| 1. |
Hardy G. H., Littlewood J. E., “The fractional part of $n^k\theta$”, Acta math., 37 (1914) |
| 2. |
Borel E., “Les probabilités dénombarables et leurs applications arithmétiques”, Rend Circolo math. Palermo, 27 (1909) |
| 3. |
Gelfond A. O., “Ob odnom obschem svoistve sistem schisleniya”, Izv. AN SSSR, ser. matem, 23 (1959); Избр.тр., 366–371 |
| 4. |
Zeckendorf E., “Reprśentation des nombres naturels par une somme de nombres de Fibonacci ou de nombres de Lucas”, Bull. Soc. R. Sci. Liège, 41 (1972), 179–182 (in French) |
| 5. |
Dickson L. E., History of the theory of numbers, Ch. 17, Carnegie Inst. of Washigton, 1919 |
| 6. |
Arkhipov G. I., Sadovnichii V. A., Chubarikov V. N., Lektsii po matematicheskomu analizu, Drofa, M., 2006, 640 pp. |
| 7. |
Kassels Dzh. V. S., Vvedenie v teoriyu diofantovykh priblizhenii, Izd-vo inostr. lit-ry, M., 1961, 212 pp. |
| 8. |
Kholl M., Kombinatorika, Izd-vo “Mir”, M., 1970, 424 pp. |
| 9. |
Bernulli D., Comment. Acad. Sci. Petrop., 3 (1728), 85–100 |
| 10. |
Knut D. E., Iskusstvo programmirovaniya, Uch. posobie, v. 1, Osnovnye algoritmy, 3-e izd., Izd. dom “Vilyams”, M., 2000, 720 pp. |
| 11. |
de Moivre A., Philos. Trans., 32 (1922), 162–178 |
| 12. |
Chebyshev P. L., Teoriya veroyatnostei, §23, Izd-vo AN SSSR, 1936, 143–147 |
| 13. |
Landau E., Osnovy analiza, IL, M., 1947 |
| 14. |
Golubov B. I., Efimov A. V., Skvortsov V. A., Ryady i preobrazovaniya Uolsha: teoriya i prilozheniya, Nauka, M., 1987, 344 pp. |
| 15. |
Mineev M. P., Chubarikov V. N., Lektsii po arifmeticheskim voprosam kriptografii, OOO“Luch”, M., 2014, 224 pp. |
| 16. |
Ghyasi A. H., “A generalization of the Gel'fond theorem concerning number systems”, Russian Journal of Mathematical Physics, 2007, no. 3, 370 \bf 14 |