|
|
|
|
References
|
|
| |
| 1. |
V. G. Zhuravlev, “Simpleks-modulnyi algoritm razlozheniya algebraicheskikh chisel v mnogomernye tsepnye drobi”, Zap. nauchn. semin. POMI, 449, 2016, 168–195   |
| 2. |
V. Brun, “Algorithmes euclidiens pour trois et quatre nombres”, Treizieme congres des mathematiciens scandinaves (Helsinki, 18–23 août 1957), Mercators Tryckeri, Helsinki, 1958, 45–64 |
| 3. |
E. S. Selmer, “Continued fractions in several dimensions”, Nordisk Nat. Tidskr., 9, 1961, 37–43  |
| 4. |
A. Nogueira, “The three-dimensional Poincare continued fraction algorithm”, Israel J. Math., 90:1–3 (1995), 373–401  |
| 5. |
F. Schweiger, Multidimensional Continued Fraction, Oxford Univ. Press, New York, 2000 |
| 6. |
V. Berthe, S. Labbe, “Factor complexity of S-adic words generated by the Arnoux–Rauzy–Poincare algorithm”, Adv. in Appl. Math., 63 (2015), 90–130 |
| 7. |
P. Arnoux, S. Labbe, On some symmetric multidimensional continued fraction algorithms, August 2015, arXiv: 1508.07814 |
| 8. |
J. Cassaigne, “Un algorithme de fractions continues de complexite lineaire”, DynA3S meeting, LIAFA, Paris, October 2015 |
| 9. |
V. G. Zhuravlev, “Simpleks-yadernyi algoritm razlozheniya v mnogomernye tsepnye drobi”, Tr. MIAN, 299, 2017, 283–303  |
| 10. |
Dzh. V. S. Kassels, Vvedenie v teoriyu diofantovykh priblizhenii, M., 1961 |
| 11. |
A. Ya. Khinchin, Tsepnye drobi, 4-oe izd., M., 1978 |
| 12. |
J. Lagarias, “Best simultaneous Diophantine approximations. I. Groth rates of best approximation denomimators”, Trans. Amer. Math. Soc., 272:2 (1982), 545–554 |
| 13. |
N. G. Moshchevitin, On some open problems in Diophantine approximation, Dec. 2012, 42 pp., arXiv: 1202.4539v5[math.NT] |
| 14. |
N. Chevallier, “Best Simultaneous Diophantine Approximations and Multidimensional Continued Fraction Expansions”, Moscow J. Comb. Number Theory, 3:3 (2013), 3–56 |
| 15. |
Z. I. Borevich, I. R. Shafarevich, Teoriya chisel, 2-oe izd., M., 1972 |
| 16. |
I. M. Vinogradov, Osnovy teorii chisel, 8-oe izd., M., 1972 |
