On the multiplicities of binary complex recurrences

F. Beukers; R. Tijdeman

Compositio Mathematica (1984)

  • Volume: 51, Issue: 2, page 193-213
  • ISSN: 0010-437X

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Beukers, F., and Tijdeman, R.. "On the multiplicities of binary complex recurrences." Compositio Mathematica 51.2 (1984): 193-213. <http://eudml.org/doc/89641>.

@article{Beukers1984,
author = {Beukers, F., Tijdeman, R.},
journal = {Compositio Mathematica},
keywords = {binary recurrence; multiplicity of non-degenerate complex sequences; algebraic numbers},
language = {eng},
number = {2},
pages = {193-213},
publisher = {Martinus Nijhoff Publishers},
title = {On the multiplicities of binary complex recurrences},
url = {http://eudml.org/doc/89641},
volume = {51},
year = {1984},
}

TY - JOUR
AU - Beukers, F.
AU - Tijdeman, R.
TI - On the multiplicities of binary complex recurrences
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 51
IS - 2
SP - 193
EP - 213
LA - eng
KW - binary recurrence; multiplicity of non-degenerate complex sequences; algebraic numbers
UR - http://eudml.org/doc/89641
ER -

References

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  1. [1] J. Berstel: Sur le calcul des termes d'une suite récurrente linéaire. Exp. I.R.I.A. (Rocquencourt), 1974. 
  2. [2] F. Beukers: The multiplicity of binary recurrences. Comp. Math.40 (1980) 251-267. Zbl0396.10005MR563543
  3. [3] E. Dobrowolski: On a question of Lehmer and the number of irreducible factors of a polynomial. Acta Arith.34 (1979) 391-401. Zbl0416.12001MR543210
  4. [4] K. Kubota: On a conjecture of M. Ward, I, II. Acta Arith. 33 (1977) 11-28, 29-48. Zbl0356.10008
  5. [5] K. Kubota: On a conjecture of M. Ward, III. Acta Arith.33 (1977) 99-109. Zbl0356.10009MR441844
  6. [6] S. Lang: Algebraic Number Theory. Addison-Wesley, Reading, Mass. (1970). Zbl0211.38404MR282947
  7. [7] C. Lech: A note on recurring sequences. Ark. Mat.2 (1953) 417-421. Zbl0051.27801MR56634
  8. [8] K. Mahler: On the Taylor coefficients of rational functions. Proc. Camb. Phil. Soc.52 (1956) 39-48 and 53 (1957) 544. Zbl0077.05205MR74503
  9. [9] P.A. Picon: Sur certaines suites récurrentes cubiques ayant deux ou trois termes nuls. Discr. Math.21 (1978) 285-296. Zbl0382.10010MR522902
  10. [10] S.J. Scott: On the number of zeros of a cubic recurrence. Amer. Math. Monthly67 (1960) 169-170. Zbl0098.26201MR118696
  11. [11] M.F. Smiley: On the zeros of a cubic recurrence. Amer. Math. Monthly63 (1956) 171-172. Zbl0070.27302MR75967
  12. [12] R. Tijdeman: Multiplicities of binary recurrences. Sém Théorie des Nombres Bordeaux 1980-198 1, Exp. no. 29, 11 pp. Zbl0473.10012MR644662

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