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Volumn 47, Issue 1, 2011, Pages 74-92

Arithmetics in numeration systems with negative quadratic base

Author keywords

Negative base; Numeration systems; Pisot number

Indexed keywords


EID: 79151472181     PISSN: 00235954     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (4)

References (20)
  • 3
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    • F. Bassino: β-expansions for cubic Pisot numbers. In: 5th Latin American Theoretical Informatics Symposium (LATIN'02), Cancun 2002, Springer-Verlag, Lecture Notes in Comp. Sci. 2286(2002), pp. 141-152.
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    • Bassino, F.1
  • 6
    • 0037903863 scopus 로고
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    • S. Fabre: Substitutions et β-systèmes de numération. Theoret. Comput. Sci. 137(1995), 219-236.
    • (1995) Theoret. Comput. Sci. , vol.137 , pp. 219-236
    • Fabre, S.1
  • 10
    • 0041633491 scopus 로고    scopus 로고
    • On-line multiplication in real and complex base
    • IEEE Computer Society Press
    • Ch. Frougny and A. Surarerks: On-line multiplication in real and complex base. In: Proc. IEEE Arith. 16, IEEE Computer Society Press 2003, pp. 212-219.
    • (2003) Proc. IEEE Arith. , vol.16 , pp. 212-219
    • Frougny, Ch.1    Surarerks, A.2
  • 11
  • 12
    • 79151483551 scopus 로고    scopus 로고
    • (-β)-Expansions of real numbers
    • S. Ito and T. Sadahiro: (-β)-expansions of real numbers. Integers 9(2009), 239-259.
    • (2009) Integers , vol.9 , pp. 239-259
    • Ito, S.1    Sadahiro, T.2
  • 13
    • 80053999102 scopus 로고    scopus 로고
    • Beta-expansions, natural extensions and multiple tilings associated with Pisot units
    • To appear in
    • C. Kalle and W. Steiner: Beta-expansions, natural extensions and multiple tilings associated with Pisot units. To appear in Trans. Amer. Math. Soc. 2011.
    • (2011) Trans. Amer. Math. Soc.
    • Kalle, C.1    Steiner, W.2
  • 14
    • 79151471463 scopus 로고    scopus 로고
    • Arithmetics in number systems with a negative base
    • Z. Masáková, E. Pelantová, and T. Vávra: Arithmetics in number systems with a negative base. Theor. Comp. Sci. 12(2011), 835-845.
    • (2011) Theor. Comp. Sci. , vol.12 , pp. 835-845
    • Masáková, Z.1    Pelantová, E.2    Vávra, T.3
  • 15
    • 24844433692 scopus 로고    scopus 로고
    • On the redundancy of real number representation systems
    • Laboratoire de l'informatique du parallélisme
    • C. Mazenc: On the Redundancy of Real Number Representation Systems. Research Report 93-16, Laboratoire de l'informatique du parallélisme.
    • Research Report 93-16
    • Mazenc, C.1
  • 16
    • 0010564057 scopus 로고
    • On the β-expansions of real numbers
    • W. Parry: On the β-expansions of real numbers. Acta Math. Acad. Sci. Hung. 11(1960), 401-416.
    • (1960) Acta Math. Acad. Sci. Hung , vol.11 , pp. 401-416
    • Parry, W.1
  • 17
    • 0040341424 scopus 로고
    • Representations for real numbers and their ergodic properties
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    • (1957) Acta Math. Acad. Sci. Hung , vol.8 , pp. 477-493
    • Rényi, A.1
  • 18
    • 0000333975 scopus 로고
    • 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(1980), 269-278.
    • (1980) Bull. London Math. Soc. , vol.12 , pp. 269-278
    • Schmidt, K.1
  • 20
    • 0011414005 scopus 로고
    • Groups, tilings, and finite state automata
    • American Mathematical Society, Boulder
    • W. P. Thurston: Groups, tilings, and finite state automata. AMS Colloquium Lecture Notes, American Mathematical Society, Boulder 1989.
    • (1989) AMS Colloquium Lecture Notes
    • Thurston, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.