@article{bwmeta1.element.bwnjournal-article-aav76i2p109bwm, author = {Takao Komatsu}, title = {A certain power series associatedwith a Beatty sequence}, journal = {Acta Arithmetica}, volume = {76}, year = {1996}, pages = {109-129}, zbl = {0858.11013}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav76i2p109bwm} }
Takao Komatsu. A certain power series associatedwith a Beatty sequence. Acta Arithmetica, Tome 76 (1996) pp. 109-129. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav76i2p109bwm/
[000] [1] P. Bundschuh, Über eine Klasse reeller Transzendenter Zahlen mit explicit angebbarer g-adischer und Kettenbruch-Entwicklung, J. Reine Angew. Math. 318 (1980), 110-119. | Zbl 0425.10038
[001] [2] A. S. Fraenkel, M. Mushkin and U. Tassa, Determination of [nθ] by its sequence of differences, Canad. Math. Bull. 21 (1978), 441-446.
[002] [3] 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. | Zbl 0721.11009
[003] [4] T. Komatsu, On the characteristic word of the inhomogeneous Beatty sequence, Bull. Austral. Math. Soc. 51 (1995), 337-351. | Zbl 0829.11012
[004] [5] T. Komatsu, The fractional part of nθ+ϕ and Beatty sequences, J. Théorie des Nombres de Bordeaux 7 (1995), 387-406. | Zbl 0849.11027
[005] [6] T. Komatsu, A certain power series and the inhomogeneous continued fraction expansions, J. Number Theory, to appear. | Zbl 0872.11033
[006] [7] 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. | Zbl 0339.10028
[007] [8] K. Mahler, Arithmetische Eigenschaften der Lösungen einer Klasse von Funktionalgleichungen, Math. Ann. 101 (1929), 342-366. | Zbl 55.0115.01
[008] [9] K. Nishioka, I. Shiokawa and J. Tamura, Arithmetical properties of a certain power series, J. Number Theory 42 (1992), 61-87. | Zbl 0770.11039
[009] [10] B. A. Venkov, Elementary Number Theory, Wolters-Noordhoff, Groningen, 1970.