On families of Pisot E -sequences

David G. Cantor

Annales scientifiques de l'École Normale Supérieure (1976)

  • Volume: 9, Issue: 2, page 283-308
  • ISSN: 0012-9593

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Cantor, David G.. "On families of Pisot $E$-sequences." Annales scientifiques de l'École Normale Supérieure 9.2 (1976): 283-308. <http://eudml.org/doc/81980>.

@article{Cantor1976,
author = {Cantor, David G.},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {2},
pages = {283-308},
publisher = {Elsevier},
title = {On families of Pisot $E$-sequences},
url = {http://eudml.org/doc/81980},
volume = {9},
year = {1976},
}

TY - JOUR
AU - Cantor, David G.
TI - On families of Pisot $E$-sequences
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1976
PB - Elsevier
VL - 9
IS - 2
SP - 283
EP - 308
LA - eng
UR - http://eudml.org/doc/81980
ER -

References

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  1. [1] P. BATEMAN and A. DUQUETTE, The Analogue of the Pisot-Vijayaraghavan Numbers in Fields of Formal Power Series (Ill. J. Math., Vol. 6, 1962, pp. 594-606). Zbl0105.02801MR26 #2424
  2. [2] D. BOYD, Pisot Sequences which Satisfy no Linear Recurrence (to be published in Acta Arithmetica). Zbl0303.10036
  3. [3] D. CANTOR, Power Series with Integral Coefficients (Bull. Amer. Math. Soc., Vol. 69, 1963, pp. 362-366). Zbl0112.29901MR27 #1565
  4. [4] D. CANTOR, On Powers of Real Numbers (mod 1) (Proc. Amer. Math. Soc., Vol. 16, 1965, pp. 791-793). Zbl0152.03702MR31 #2235
  5. [5] D. CANTOR, Investigation of T-Numbers and E-Sequences (Computers in Number Theory, Academic Press, 1971, pp. 137-140). Zbl0231.10009
  6. [6] P. FLOR, Über eine Klasse von Folgen natürlicher Zahlen (Math. Annalen, Vol. 140, 1960, pp. 299-307). Zbl0095.03501MR24 #A1868
  7. [7] P. GALYEAN, On Linear Recurrence Relations for E-Sequences [Thesis (Unpublished), University of California at Los Angeles, 1971]. 
  8. [8] M. GRANDET-HUGOT, Éléments algébriques remarquables dans un corps de séries formelles (Acta Arithmetica, Vol. 14, 1968, pp. 177-184). Zbl0208.06204MR37 #2726
  9. [9] P. HENRICI, Applied and Computational Complex Analysis, Vol. 1, Wiley, 1974, pp. 45-55. Zbl0313.30001MR51 #8378
  10. [10] C. PISOT, La répartition modulo 1 et les nombres algébriques (Ann. Scuola Norm. Sup. Pisa, Vol. 7, 1938, pp. 205-248). Zbl0019.15502JFM64.0994.01
  11. [11] G. POLYA and G. SZEGÖ, Aufgaben und Lehrśátze aus der Analysis, Vol. 2, Berlin, 1925, p. 142. JFM51.0173.01

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