@article{bwmeta1.element.bwnjournal-article-aav77i1p77bwm,
author = {Jean-Paul Allouche and Anna Lubiw and Michel Mend\`es France and Alfred J. van der Poorten and Jeffrey Shallit},
title = {Convergents of folded continued fractions},
journal = {Acta Arithmetica},
volume = {76},
year = {1996},
pages = {77-96},
zbl = {0848.11004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav77i1p77bwm}
}
Jean-Paul Allouche; Anna Lubiw; Michel Mendès France; Alfred J. van der Poorten; Jeffrey Shallit. Convergents of folded continued fractions. Acta Arithmetica, Tome 76 (1996) pp. 77-96. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav77i1p77bwm/
[000] [1] J.-P. Allouche and J. O. Shallit, The ring of k-regular sequences, Theoret. Comput. Sci. 98 (1992), 163-187. | Zbl 0774.68072
[001] [2] E. Artin, Quadratische Körper im Gebiet der höheren Kongruenzen I, II, Math. Z. 19 (1924), 153-246. Reprinted in Collected Papers, pp. 1-104. | Zbl 50.0107.01
[002] [3] L. E. Baum and M. M. Sweet, Continued fractions of algebraic power series in characteristic 2, Ann. of Math. 103 (1976), 593-610. | Zbl 0312.10024
[003] [4] A. Blanchard and M. Mendès France, Symétrie et transcendance, Bull. Sci. Math. 106 (1982), 325-335.
[004] [5] F. M. Dekking, M. Mendès France and A. J. van der Poorten, Folds!, Math. Intelligencer 4 (1982), 130-138, 173-181, 190-195.
[005] [6] R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics, Addison-Wesley, 1989.
[006] [7] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Oxford University Press, 1989. | Zbl 0020.29201
[007] [8] M. Kmošek, Continued fraction expansion of some irrational numbers, Master's thesis, Uniwersytet Warszawski, 1979 (in Polish).
[008] [9] D. E. Knuth, Seminumerical Algorithms, Vol. II of The Art of Computer Programming, Addison-Wesley, 1981. | Zbl 0477.65002
[009] [10] G. Köhler, Some more predictable continued fractions, Monatsh. Math. 89 (1980), 95-100. | Zbl 0419.10010
[010] [11] B. de Mathan, Approximations diophantiennes dans un corps local, Bull. Soc. Math. France Suppl. Mém. 21 (1970), 1-93. | Zbl 0221.10037
[011] [12] M. Mendès France, Principe de la symétrie perturbée, in: M.-J. Bertin (ed.), Séminaire de Théorie des Nombres, Paris 1979-80; Séminaire Delange-Pisot-Poitou, Birkhäuser, 1981, 77-98.
[012] [13] M. Mendès France and A. J. van der Poorten, Arithmetic and analytic properties of paper folding sequences, Bull. Austral. Math. Soc. 24 (1981), 123-131. | Zbl 0451.10018
[013] [14] M. Mendès France and A. J. van der Poorten, Some explicit continued fraction expansions, Mathematika 38 (1991), 1-9.
[014] [15] A. J. van der Poorten and J. O. Shallit, Folded continued fractions, J. Number Theory 40 (1992), 237-250. | Zbl 0753.11005
[015] [16] J. Roberts, Elementary Number Theory: A Problem Oriented Approach, MIT Press, 1978.
[016] [17] O. Salon, Suites automatiques à multi-indices et algébricité, C. R. Acad. Sci. Paris 305 (1987), 501-504. | Zbl 0628.10007
[017] [18] O. Salon, Propriétés arithmétiques des automates multidimensionnels, PhD thesis, Université de Bordeaux I, 1989.
[018] [19] J. O. Shallit, Simple continued fractions for some irrational numbers, J. Number Theory 11 (1979), 209-217. | Zbl 0404.10003
[019] [20] J. O. Shallit, Explicit descriptions of some continued fractions, Fibonacci Quart. 20 (1982), 77-81. | Zbl 0472.10012
[020] [21] J. O. Shallit, Simple continued fractions for some irrational numbers, II, J. Number Theory 14 (1982), 228-231. | Zbl 0481.10005
[021] [22] N. J. A. Sloane and S. Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995. | Zbl 0845.11001
[022] [23] M. A. Stern, Über eine zahlentheoretische Funktion, J. Reine Angew. Math. 55 (1858), 193-220.