Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
125-147
Opis fizyczny
Daty
wydano
1995
otrzymano
1993-10-04
poprawiono
1994-07-18
Twórcy
autor
- AT&T Bell Laboratories, Murray Hill, New Jersey 07974, U.S.A.
autor
- AT&T Bell Laboratories, Murray Hill, New Jersey 07974, U.S.A.
autor
- Brigham Young University, Provo, Utah 84602, U.S.A.
Bibliografia
- M. J. Bertin, A. Decomps-Guilloux, M. Grandet-Hugot, M. Pathiaux-Delefosse and J. P. Schreiber (1992), Pisot and Salem Numbers, Birkhäuser, Boston.
- D. Boyd (1969), Transcendental numbers with badly distributed powers, Proc. Amer. Math. Soc. 23, 424-427.
- G. Choquet (1981), θ-fermés et dimension de Hausdorff. Conjectures de travail. Arithmétique des θ-cycles (θ = 3/2), C. R. Acad. Sci. Paris Sér. I 292, 339-344.
- L. Flatto (1992), Z-numbers and β-transformations, in: Symbolic Dynamics and Its Applications, P. Walters (ed.), Contemp. Math. 135, Amer. Math. Soc., Providence, R.I., 181-202.
- L. Flatto and J. C. Lagarias (1994), The lap counting function for linear mod one transformations, I. Explicit formulas and renormalizability, Ergodic Theory Dynamical Systems, to appear.
- L. Flatto, J. C. Lagarias and B. Poonen (1994), The zeta function of the beta transformation, Ergodic Theory Dynamical Systems 14, 237-266.
- K. Mahler (1968), An unsolved problem on the powers of 3/2, J. Austral. Math. Soc. 8, 313-321.
- W. Parry (1960), On the β-expansion of real numbers, Acta Math. Acad. Sci. Hungar. 11, 401-416.
- C. Pisot (1938), La répartition modulo 1 et les nombres algébriques, Ann. Scuola Norm. Sup. Pisa (2) 7, 204-248.
- C. Pisot (1946), Répartition (mod 1) des puissances successives des nombres réels, Comment. Math. Helv. 19, 153-160.
- A. Pollington (1978), Intervals Constructions in the Theory of Numbers, Ph.D. thesis, University of London.
- A. D. Pollington (1979), On the density of sequences {nₖξ}, Illinois J. Math. 23, 511-515.
- A. D. Pollington (1981), Progressions arithmétiques généralisées et le problème des (3/2)ⁿ, C. R. Acad. Sci. Paris Sér. I 292, 383-384.
- A. Rényi (1957), Representations for real numbers and their ergodic properties, Acta Math. Acad. Sci. Hungar. 8, 472-493.
- R. Tijdeman (1972), Note on Mahler's 3/2-Problem, K. Norske Vidensk. Selsk. Skr. 16, 1-4.
- T. Vijayaraghavan (1940), On the fractional parts of the powers of a number, I, J. London Math. Soc. 15, 159-160.
- T. Vijayaraghavan (1941), On the fractional parts of the powers of a number, II, Proc. Cambridge Philos. Soc. 37, 349-357.
- T. Vijayaraghavan (1942), On the fractional parts of the powers of a number, III, J. London Math. Soc. 17, 137-138.
- T. Vijayaraghavan (1948), On the fractional parts of powers of a number, IV, J. Indian Math. Soc. (N.S.) 12, 33-39.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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