On the multiplicities of binary complex recurrences

 Access to full text

 Full (PDF)

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

1. F. Beukers, H. P. Schlickewei, The equation x+y=1 in finitely generated groups
2. F. Beukers, The zero-multiplicity of ternary recurrences
3. Clemens Fuchs, Attila Pethő, Effective bounds for the zeros of linear recurrences in function fields
4. Bernadette Deshommes, Sur les zéros des fonctions symétriques complètes (cas cubique)