On the Laurent property of the Somos-4 sequences
Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 1, pp. 18-22.

Voir la notice de l'article provenant de la source Math-Net.Ru

A new proof for the Laurent property of Somos-4 sequences in a stronger form is proposed in the paper.
@article{DVMG_2018_18_1_a2,
     author = {V. A. Bykovskii},
     title = {On the {Laurent} property of the {Somos-4} sequences},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {18--22},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2018_18_1_a2/}
}
TY  - JOUR
AU  - V. A. Bykovskii
TI  - On the Laurent property of the Somos-4 sequences
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2018
SP  - 18
EP  - 22
VL  - 18
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DVMG_2018_18_1_a2/
LA  - ru
ID  - DVMG_2018_18_1_a2
ER  - 
%0 Journal Article
%A V. A. Bykovskii
%T On the Laurent property of the Somos-4 sequences
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2018
%P 18-22
%V 18
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DVMG_2018_18_1_a2/
%G ru
%F DVMG_2018_18_1_a2
V. A. Bykovskii. On the Laurent property of the Somos-4 sequences. Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 1, pp. 18-22. http://geodesic.mathdoc.fr/item/DVMG_2018_18_1_a2/

[1] S. Fomin, A. Zelevinsky, “The Laurent phenomenon”, Adv. Appl. Math., 28 (2002), 119–144 | DOI | MR | Zbl

[2] A. N. W. Hone, C. S. Swart, “Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences”, Mathematical Proceedigs of the Cambridge Philosophical Society, 145 (2008), 65–85 | MR | Zbl

[3] Weierstrass K., Mathematische Werke von Karl Weierstrass, Bd. 5, Berlin, 1915

[4] V. A. Bykovskii, “Giperkvazimnogochleny i ikh prilozheniya”, Funkts. analiz i ego prilozheniya, 50:3 (2016), 34–46 | DOI | MR | Zbl

[5] R. Rochberg, L. Rubel, “A Functional Equation”, Indiana Univ. Math. J., 41:2 (1992), 363–376 | DOI | MR | Zbl

[6] A. N. W. Hone, “Elliptic curves and quadratic recurrence sequences”, Bulletin of the London Mathematical Society, 37, 2005, 161–171 | DOI | MR | Zbl

[7] R. Shipsey, Elliptic Divisibility Sequences, PhD Thesis, Goldsmith’s University of London, 2000

[8] C. Swart, Elliptic curves and related sequences, PhD Thesis, Royal Holloway and Bedford New College, University of London, 2003