The zero-multiplicity of ternary recurrences

F. Beukers

Compositio Mathematica (1991)

  • Volume: 77, Issue: 2, page 165-177
  • ISSN: 0010-437X

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Beukers, F.. "The zero-multiplicity of ternary recurrences." Compositio Mathematica 77.2 (1991): 165-177. <http://eudml.org/doc/90070>.

@article{Beukers1991,
author = {Beukers, F.},
journal = {Compositio Mathematica},
keywords = {linear recurrences; Ward's conjecture; ternary recurrence of rational numbers; zero-multiplicity at most six; gap principle},
language = {eng},
number = {2},
pages = {165-177},
publisher = {Kluwer Academic Publishers},
title = {The zero-multiplicity of ternary recurrences},
url = {http://eudml.org/doc/90070},
volume = {77},
year = {1991},
}

TY - JOUR
AU - Beukers, F.
TI - The zero-multiplicity of ternary recurrences
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 77
IS - 2
SP - 165
EP - 177
LA - eng
KW - linear recurrences; Ward's conjecture; ternary recurrence of rational numbers; zero-multiplicity at most six; gap principle
UR - http://eudml.org/doc/90070
ER -

References

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  1. [Ber] Berstel, J.Sur le calcul des termes d'une suite récurrente linéaire, exposé fait à l'I.R.I.A. (Rocquencourt) en mars 1974. 
  2. [Beu] Beukers, F.The multiplicity of binary recurrences. Compositio Math, 40 (1980), 251-267. Zbl0396.10005MR563543
  3. [BT] Beukers, F.; Tijdeman, R.On the multiplicities of binary complex recurrences. Compositio Math., 51 (1984), 193-213. Zbl0538.10014MR739734
  4. [D1] Deshommes, B.Resolution semi-locale d'equations diophantiennes, to appear. 
  5. [D2] Deshommes, B.Sur les zéros des fonctions symmétriques complètes des corps cubiques, Pacific J. Math., 139 (1989), 17-44. Zbl0642.12009MR1010782
  6. [D3] Deshommes, B.On semi-local binomial units in cubic number fields, J. Reine angew. Math., 402 (1989), 153-165. Zbl0677.12001MR1022797
  7. [K] Kubota, K.On a conjecture of M. Ward I, II, III. Acta Arith., 33 (1977), 11-28, 29-48, 99-109. Zbl0356.10009
  8. [L] Lang, S.Algebraic Number Theory, Springer1986. Zbl0601.12001MR1282723
  9. [LP] Loxton, J.H., Poorten, A. J. van der., On the growth of recurrence sequences. Math. Proc. Camb. Phil. Soc., 81 (1977), 369-376. Zbl0348.10007MR450184
  10. [S] Smiley, M.F., On the zeros of a cubic recurrence, Amer. Math. Monthly, 63 (1956), 171-172. Zbl0070.27302MR75967
  11. [ST] Shorey, T.N., Tijdeman, R., Exponential diophantine equations, Cambridge Univ. Press1986. Zbl0606.10011MR891406
  12. [T] Tijdeman, R., Multiplicities of binary recurrences, Sém. Théorie des Nombres Bordeaux, année 1980/81, exposée no. 29. Zbl0473.10012MR644662
  13. [W] Ward, M., Some diophantine problems connected with linear recurrences. Report Institute Theory of Numbers (Univ. Colorado) (1959), 250-257. 

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