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Acta Arithmetica
Volumn 76, Issue 2, 1996, Pages 109-129
A certain power series associated with a Beatty sequence
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EID: 0030473640     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-76-2-109-129     Document Type: Article
Times cited : (15)
References (10)
  • 1
    • 0000645728 scopus 로고
    • Über eine klasse reeller transzendenter zahlen mit explicit angebbarer g-adischer und kettenbruch-entwicklung
    • P. Bundschuh, Über eine Klasse reeller Transzendenter Zahlen mit explicit angebbarer g-adischer und Kettenbruch-Entwicklung, J. Reine Angew. Math. 318 (1980), 110-119.
    • (1980) J. Reine Angew. Math. , vol.318 , pp. 110-119
    • Bundschuh, P.1
  • 2
    • 0001321849 scopus 로고
    • Determination of [nθ] by its sequence of differences
    • A. S. Fraenkel, M. Mushkin and U. Tassa, Determination of [nθ] by its sequence of differences, Canad. Math. Bull. 21 (1978), 441-446.
    • (1978) Canad. Math. Bull. , vol.21 , pp. 441-446
    • Fraenkel, A.S.1    Mushkin, M.2    Tassa, U.3
  • 3
    • 0001732194 scopus 로고
    • On continued fractions, substitutions and characteristic sequences [nx + y] - [(n - 1)x + y]
    • S. Ito and S. Yasutomi, On continued fractions, substitutions and characteristic sequences [nx + y] - [(n - 1)x + y], Japan. J. Math. 16 (1990), 287-306.
    • (1990) Japan. J. Math. , vol.16 , pp. 287-306
    • Ito, S.1    Yasutomi, S.2
  • 4
    • 84974402990 scopus 로고
    • On the characteristic word of the inhomogeneous Beatty sequence
    • T. Komatsu, On the characteristic word of the inhomogeneous Beatty sequence, Bull. Austral. Math. Soc. 51 (1995), 337-351.
    • (1995) Bull. Austral. Math. Soc. , vol.51 , pp. 337-351
    • Komatsu, T.1
  • 5
    • 0001233883 scopus 로고
    • The fractional part of nθ + φ and Beatty sequences
    • -, The fractional part of nθ + φ and Beatty sequences, J. Théorie des Nombres de Bordeaux 7 (1995), 387-406.
    • (1995) J. Théorie des Nombres de Bordeaux , vol.7 , pp. 387-406
  • 6
    • 0011333231 scopus 로고    scopus 로고
    • A certain power series and the inhomogeneous continued fraction expansions
    • to appear
    • -, A certain power series and the inhomogeneous continued fraction expansions, J. Number Theory, to appear.
    • J. Number Theory
  • 7
    • 0002454419 scopus 로고
    • Arithmetic properties of certain functions in several variables, III
    • J. H. Loxton and A. J. van der Poorten, Arithmetic properties of certain functions in several variables, III, Bull. Austral. Math. Soc. 16 (1977), 15-47.
    • (1977) Bull. Austral. Math. Soc. , vol.16 , pp. 15-47
    • Loxton, J.H.1    Van der Poorten, A.J.2
  • 8
    • 0001701538 scopus 로고
    • Arithmetische eigenschaften der lösungen einer klasse von funktionalgleichungen
    • K. Mahler, Arithmetische Eigenschaften der Lösungen einer Klasse von Funktionalgleichungen, Math. Ann. 101 (1929), 342-366.
    • (1929) Math. Ann. , vol.101 , pp. 342-366
    • Mahler, K.1
  • 9
    • 38249010672 scopus 로고
    • Arithmetical properties of a certain power series
    • K. Nishioka, I. Shiokawa and J. Tamura, Arithmetical properties of a certain power series, J. Number Theory 42 (1992), 61-87.
    • (1992) J. Number Theory , vol.42 , pp. 61-87
    • Nishioka, K.1    Shiokawa, I.2    Tamura, J.3

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.