Previous |  Up |  Next

Article

References:
[1] ALLOUCHE J.-P.: q-regular sequences and other generalizations of q-automatic sequences. In: Lecture Notes in Comput. Sci. 583, Springer, Nеw York, 1992, pp. 15-23. MR 1253343
[2] ALLOUCHE J.-P.: Finite automata and arithmetic. In: Seminairе Lotharingiеn dе Combinatoire BЗ0c, 1993, pp. 1-23. MR 1312624 | Zbl 0903.11009
[3] ALLOUCHE J.-P.-CATELAND E.-GILBERT W. J.-PEITGEN H.-O.- SHALLIT J.-SKORDEV G.: Automatic maps in exotic numeration systems. Theory Comput. Syst. (Formerly: Math. Systems Theory) 30 (1997), 285-331. MR 1432196
[4] ALLOUCHE J.-P.-MORTON P.-SHALLIT J.: Pattern spectra, substring enumeration, and automatic sequences. Theoret. Comput. Sci. 94 (1.992), 161-174. MR 1157853 | Zbl 0753.11012
[5] ALLOUCHE J.-P.-SHALLIT J.: The ring of k-regular sequences. Theoret. Comput. Sci. 98 (1992), 163-187. MR 1166363 | Zbl 0774.68072
[6] CHRISTOL G.: Ensembles presque-periodiques k-reconnaissables. Theoret. Comput. Sci. 9 (1979), 141-145. MR 0535129 | Zbl 0402.68044
[7] CHRISTOL G.-KAMAE T.-MENDES FRANCE M.-RAUZY G.: Suites algebriques, automates et substitutions. Bull. Soc. Math. France 108 (1980), 401-419. MR 0614317
[8] COBHAM A.: On the base-dependence of sets of numbers recognizable by finite automata. Math. Systems Theory 3 (1969), 186-192. MR 0250789 | Zbl 0179.02501
[9] COBHAM A.: Uniform tag sequences. Math. Systems Theory 6 (1972), 164-192. MR 0457011 | Zbl 0253.02029
[10] DEKKING F. M.-MENDES FRANCE M.-VAN DER POORTEN A. J.: Folds!. Math. Intelligencer 4 (1982), 130-138, 173-181, 190-195. MR 0684028
[11] FRAENKEL A. S.: Systems of numeration. Amer. Math. Monthly 92 (1985), 105-114. MR 0777556 | Zbl 0568.10005
[12] FROUGNY C.: Confluent linear numeration systems. Theoret. Comput. Sci. 106 (1992), 183-219. MR 1192767 | Zbl 0787.68057
[13] FROUGNY C.-SOLOMYAK B.: On representation of integers in linear numeration systems. In: Ergodic Theory of Zd actions. Proceedings of the Warwick Symposium, Warwick, UK, 1993-94 (M. Pollicott et al., eds.), London Math. Soc. Lecture Note Ser. 228, Cambridge University Press, Cambridge, 1996, pp. 345-368. MR 1411227
[14] GRABNER P. G.-KIRSCHENHOFER P.-PRODINGER H.: The sum of digits function for complex bases. J. London Math. Soc. 57 (1998), 20-40. MR 1624777 | Zbl 0959.11045
[15] KÁTAI I.-KOVÁCS B.: Kanonische Zahlensysteme in der Theorie der quadratischen algebraischen Zahlen. Acta Sci. Math. (Szeged) 42 (1980), 99-107. MR 0576942 | Zbl 0386.10007
[16] KÁTAI I.-KOVÁCS B.: Canonical number systems in imaginary quadratic fields. Acta Math. Acad. Sci. Hungar. 37 (1981), 159-164. MR 0616887 | Zbl 0477.10012
[17] KÁTAI I.-SZABO J.: Canonical number systems for complex integers. Acta Sci. Math. (Szeged) 37 (1975), 255-260. MR 0389759 | Zbl 0309.12001
[18] KIMBERLING C.: Numeration systems and fractal sequences. Acta Arith. 73 (1995), 103-117. MR 1358191 | Zbl 0834.11010
[19] KNUTH D. E.: The Art of Computer Programming. Vol. 2. Seminumerical Algorithms (2nd ed.), Addison Wesley, Reading, 1981. MR 0633878 | Zbl 0477.65002
[20] KOVÁCS B.: CNS rings. In: Topics in Classical Number Theory, Vol. II (G. Halasz, ed.), Colloq. Math. Soc. Janos Bolyai 34, North-Holland, Amsterdam, 1984, pp. 961-971. MR 0781170 | Zbl 0558.10006
[21] KOVÁCS B.-PETHO A.: Number systems in integral domains, especially in orders of algebraic number fields. Acta Sci. Math. (Szeged) 55 (1991), 287-299. MR 1152592 | Zbl 0760.11002
[22] MORTON P.-MOURANT W.: Paper folding, digit patterns and groups of arithmetic fractals. Proc. London Math. Soc. 59 (1989), 253-293. MR 1004431 | Zbl 0694.10009
[23] SALON O.: Suites automatiques á multi-indices et algebricité. C. R. Acad. Sci. Paris Ser. I Math. 305 (1987), 501-504. MR 0916320 | Zbl 0628.10007
[24] SALON O.: Proprietes arithmetiques des automates multidimensionnels. Thése, University Bordeaux I, Bordeaux, 1989.
[25] SCHEICHER K.: Kanonische Ziffernsysteme und Automaten. In: Grazer Math. Ber. 333, Karl-Franzens-Univ. Graz, Graz, 1997, pp. 1-17. MR 1640469
[26] SCHEICHER K.: Zifferndarstellungen, lineare Rekursionen und Automaten. PhD Thesis, TU Graz, Graz, 1997.
[27] SHALLIT J.: A generalization of automatic sequences. Theoret. Comput. Sci. 61 (1988), 1-16. MR 0974766 | Zbl 0662.68052
[28] THUSWALDNER J.: Elementary properties of canonical number systems in quadratic fields. In: Applications of Fibonacci Numbers, Vol. 7 (Graz 1996), Kluwer Acad. Publ., Dordrecht, 1998, pp. 405-414. MR 1638467
Partner of
EuDML logo