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Volumn 2286, Issue , 2002, Pages 141-152

Beta-expansions for cubic pisot numbers

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL SYSTEMS;

EID: 84937417749     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45995-2_17     Document Type: Conference Paper
Times cited : (27)

References (16)
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    • Cubic Pisot units with finite beta expansions
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    • S. Akiyama. Cubic Pisot units with finite beta expansions. In F. Halter-Koch and R.F. Tichy, editors, Algebraic Number Theory and Diophantine Analysis, 11–26. de Gruyter, 2000.
    • (2000) Algebraic Number Theory and Diophantine Analysis , pp. 11-26
    • Akiyama, S.1
  • 2
    • 0001313992 scopus 로고
    • Développements en base de Pisot et répartition modulo 1
    • A. Bertrand. Développements en base de Pisot et répartition modulo 1. C. R. Acad. Sci. Paris, 285:419–421, 1977.
    • (1977) C. R. Acad. Sci. Paris , vol.285 , pp. 419-421
    • Bertrand, A.1
  • 3
    • 0000154814 scopus 로고
    • Développement en base θ, répartition modulo 1 de la suite (Xθn) n≥0, langages codés et θ-shift
    • A. Bertrand-Mathis. Développement en base θ, répartition modulo 1 de la suite (xθn) n≥0, langages codés et θ-shift. Bull. Soc. Math. France, 114:271–323, 1986.
    • (1986) Bull. Soc. Math. France , vol.114 , pp. 271-323
    • Bertrand-Mathis, A.1
  • 4
    • 0024684221 scopus 로고
    • β-expansions and symbolic dynamics
    • F. Blanchard. β-expansions and symbolic dynamics. Theor. Comput. Sci., 65:131–141, 1989.
    • (1989) Theor. Comput. Sci. , vol.65 , pp. 131-141
    • Blanchard, F.1
  • 5
    • 0038890253 scopus 로고
    • Salem numbers of degree four have periodic expansions
    • de Gruyter
    • D. W. Boyd. Salem numbers of degree four have periodic expansions. In Number theory, pages 57–64. de Gruyter, 1989.
    • (1989) In Number theory , pp. 57-64
    • Boyd, D.W.1
  • 6
    • 0030363231 scopus 로고    scopus 로고
    • On beta expansions for Pisot numbers
    • D. W. Boyd. On beta expansions for Pisot numbers. Mathematics of Computation, 65(214):841–860, 1996.
    • (1996) Mathematics of Computation , vol.65 , Issue.214 , pp. 841-860
    • Boyd, D.W.1
  • 7
    • 0030352760 scopus 로고    scopus 로고
    • On the beta expansion for Salem numbers of degree 6
    • D. W. Boyd. On the beta expansion for Salem numbers of degree 6. Mathematics of Computation, 65(214):861–875, 1996.
    • (1996) Mathematics of Computation , vol.65 , Issue.214 , pp. 861-875
    • Boyd, D.W.1
  • 11
    • 0032363097 scopus 로고    scopus 로고
    • Greedy numeration systems and regularity
    • M. Hollander. Greedy numeration systems and regularity. Theory of Computing Systems, 31:111–133, 1998.
    • (1998) Theory of Computing Systems , vol.31 , pp. 111-133
    • Hollander, M.1
  • 12
    • 84972535639 scopus 로고
    • Markov subshifts and realization of β-expansions
    • S. Ito and Y. Takahashi. Markov subshifts and realization of β-expansions. J. Math. Soc. Japan, 26:33–55, 1974.
    • (1974) J. Math. Soc. Japan , vol.26 , pp. 33-55
    • Ito, S.1    Takahashi, Y.2
  • 13
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    • On the beta expansions of real numbers
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    • (1960) Acta Math. Acad. Sci. Hung. , vol.11 , pp. 401-416
    • Parry, W.1
  • 14
    • 0040341424 scopus 로고
    • Representations for real numbers and their ergodic properties
    • A. Rényi. Representations for real numbers and their ergodic properties. Acta Math. Acad. Sci. Hung., 8:477–493, 1957.
    • (1957) Acta Math. Acad. Sci. Hung. , vol.8 , pp. 477-493
    • Rényi, A.1
  • 15
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    • On periodic expansions of Pisot numbers and Salem numbers
    • K. Schmidt. On periodic expansions of Pisot numbers and Salem numbers. Bull. London Math. Soc., 12:269–278, 1980.
    • (1980) Bull. London Math. Soc. , vol.12 , pp. 269-278
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  • 16
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    • Conjugates of beta-numbers and the zero-free domain for a class of analytic functions
    • B. Solomyak. Conjugates of beta-numbers and the zero-free domain for a class of analytic functions. Proc. London Math. Soc., 68(3):477–498, 1994.
    • (1994) Proc. London Math. Soc. , vol.68 , Issue.3 , pp. 477-498
    • Solomyak, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.