On the quasi-periodic -adic Ruban continued fractions
Basma Ammous; Nour Ben Mahmoud; Mohamed Hbaib
Czechoslovak Mathematical Journal (2022)
- Volume: 72, Issue: 4, page 1157-1166
- ISSN: 0011-4642
Access Full Article
topAbstract
topHow to cite
topReferences
top- Adamczewski, B., Bugeaud, Y., On the decimal expansion of algebraic numbers, Fiz. Mat. Fak. Moksl. Semin. Darb. 8 (2005), 5-13. (2005) Zbl1138.11028MR2191109
- Adamczewski, B., Bugeaud, Y., 10.4007/annals.2007.165.547, Ann. Math. (2) 165 (2007), 547-565. (2007) Zbl1195.11094MR2299740DOI10.4007/annals.2007.165.547
- Adamczewski, B., Bugeaud, Y., 10.1515/CRELLE.2007.036, J. Reine Angew. Math. 606 (2007), 105-121. (2007) Zbl1145.11054MR2337643DOI10.1515/CRELLE.2007.036
- Baker, A., 10.1112/S002557930000303X, Mathematika, Lond. 9 (1962), 1-8. (1962) Zbl0105.03903MR0144853DOI10.1112/S002557930000303X
- Laohakosol, V., 10.1017/S1446788700026070, J. Aust. Math. Soc., Ser. A 39 (1985), 300-305. (1985) Zbl0582.10021MR0802720DOI10.1017/S1446788700026070
- LeVeque, W. J., Topics in Number Theory. II, Addison-Wesley, Reading (1956). (1956) Zbl0070.03804MR0080682
- Mahler, K., Zur Approximation -adischer Irrationalzahlen, Nieuw Arch. Wiskd. 18 (1934), 22-34 German. (1934) Zbl0009.20003
- Maillet, E., Introduction à la théorie des nombres transcendants et des propriétés arithmétiques des fonctions, Gauthier-Villars, Paris (1906), French 9999JFM99999 37.0237.02. (1906)
- Neukirch, J., 10.1007/978-3-662-03983-0, Grundlehren der Mathematischen Wissenschaften 322. Springer, Berlin (1999). (1999) Zbl0956.11021MR1697859DOI10.1007/978-3-662-03983-0
- Ooto, T., 10.1007/s00209-017-1859-2, Math. Z. 287 (2017), 1053-1064. (2017) Zbl1388.11040MR3719527DOI10.1007/s00209-017-1859-2
- Ruban, A. A., 10.1007/BF00970247, Sib. Math. J. 11 (1970), 176-180. (1970) Zbl0213.32701MR0260700DOI10.1007/BF00970247
- Schlickewei, H. P., 10.1007/BF01220404, Arch. Math. 29 (1977), 267-270. (1977) Zbl0365.10026MR0491529DOI10.1007/BF01220404
- Schmidt, W. M., 10.1007/978-3-540-38645-2, Lecture Notes in Mathematics 785. Springer, Berlin (1980). (1980) Zbl0421.10019MR0568710DOI10.1007/978-3-540-38645-2
- Wang, L., -adic continued fractions. I, Sci. Sin., Ser. A 28 (1985), 1009-1017. (1985) Zbl0628.10036MR0866457