|
|
|
|
References
|
|
| |
| 1. |
V. G. Zhuravlev, “Differentsirovanie indutsirovannykh razbienii tora i mnogomernye priblizheniya algebraicheskikh chisel”, Zap. nauchn. semin. POMI, 445, 2016, 33–92  |
| 2. |
V. G. Zhuravlev, “Dvumernye priblizheniya metodom delyaschikhsya toricheskikh razbienii”, Zap. nauchn. semin. POMI, 440, 2015, 81–98 |
| 3. |
V. G. Zhuravlev, “Delyaschiesya razbieniya tora i mnozhestva ogranichennogo ostatka”, Zap. nauchn. semin. POMI, 440, 2015, 99–122 |
| 4. |
V. G. Zhuravlev, “Periodicheskie yadernye razlozheniya kubicheskikh irratsionalnostei v tsepnye drobi”, Matematika i informatika, Sovr. probl. matem., M., 2016 (to appear), 30 s. (MI RAN) |
| 5. |
Z. Coelho, A. Lopes, L. F. Da Rocha, “Absolutely Continuous Invariant Measures for a Class of Affine Interval Exchange Maps”, Proc. Amer. Math. Soc., 123:11 (1995), 3533–3542     |
| 6. |
V. G. Zhuravlev, A. V. Shutov, “Derivaties of circle rotations and similarity of orbits”, Max Planck Institut für Math., Preprint Series, 62 (2004), 1–11 |
| 7. |
M. Furukado, Sh. Ito, A. Saito, J. Tamura, Sh. Yasutomi, “A new multidimensional slow continued fraction algorithm and stepped surface”, Exper. Math., 23:4 (2014), 390–410  |
| 8. |
M. Abrate, S. Barbero, U. Cerruti, N. Murru, “Periodic Representations for Cubic Irrationalities”, Fibonacci Quart., 50:3 (2012), 252–264 |
| 9. |
N. Murru, “On the periodic writing of cubic irrationals and a generalization of Rédei functions”, Int. J. Number Theory, 11 (2015), 779–799 |
| 10. |
Sh. Ito, J. Fujii, H. Higashino, Sh. Yasutomi, “On simultaneous approximation to $(\alpha,\alpha^2)$ with $\alpha^3+k\alpha-1=0$”, J. Number Theory, 99 (2003), 255–283 |
| 11. |
Q. Wang, K. Wang, Z. Dai, “On optimal simultaneous rational approximation to $(\omega,\omega^2)^\tau$ with $\omega$ being some kind of cubic algebraic function”, J. Approx. Theory, 148 (2007), 194–210 |
| 12. |
P. Hubert, A. Messaoudi, “Best simultaneous Diophantine approximations of Pisot numbers and Rauzy fractals”, Acta Arith., 124:1 (2006), 1–5 |
| 13. |
N. Chevallier, “Best simultaneous Diophantine approximations of some cubic numbers”, Journal de Théories des Nombres de Bordeaux, 14:2 (2002), 403–414 |
| 14. |
N. Chevallier, “Best Simultaneous Diophantine Approximations and Multidimensional Continued Fraction Expansions”, Moscow J. Combinatorics and Number Theory, 3:1 (2013), 3–56 |
| 15. |
A. Ya. Khinchin, Tsepnye drobi, 4-oe izd., M., 1978 |
| 16. |
V. G. Zhuravlev, “Periodicheskie yadernye razlozheniya edinits algebraicheskikh polei v tsepnye drobi”, Zap. nauchn. semin. POMI, 449, 2016, 84–129 |
| 17. |
J. Lagarias, “Best simultaneous Diophantine approximations. I. Groth rates of best approximation denomimators”, Trans. Amer. Math. Soc., 272 (1982), 545–554 |
| 18. |
Dzh. Kassels, Vvedenie v teoriyu diofantovykh priblizhenii, M., 1961 |
| 19. |
E. S. Fedorov, Nachala ucheniya o figurakh, M., 1953 |
| 20. |
G. F. Voronoi, Sobranie sochinenii, v. 2, Kiev, 1952 |
| 21. |
V. G. Zhuravlev, “Perekladyvayuschiesya toricheskie razvertki i mnozhestva ogranichennogo ostatka”, Zap. nauchn. semin. POMI, 392, 2011, 95–145 |
| 22. |
V. G. Zhuravlev, “Mnogogranniki ogranichennogo ostatka”, Matematika i informatika, 1, Sovr. probl. matem., 16, MI RAN, M., 2012, 82–102 |
| 23. |
K. Mukunda, “Littlewood Pisot numbers”, J. Number Theory, 117 (2006), 106–121 |
| 24. |
G. Rauzy, “Nombres algébriques et substitutions”, Bull. Soc. Math. France, 110 (1982), 147–178 |
| 25. |
V. G. Zhuravlev, “Razbieniya Rozi i mnozhestva ogranichennogo ostatka”, Zap. nauchn. semin. POMI, 322, 2005, 83–106 |
