Lineare rekurrente Folgen auf elliptischen Kurven

Attila Pethö; Horst G. Zimmer

Journal de théorie des nombres de Bordeaux (1990)

  • Volume: 2, Issue: 1, page 217-227
  • ISSN: 1246-7405

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Pethö, Attila, and Zimmer, Horst G.. "Lineare rekurrente Folgen auf elliptischen Kurven." Journal de théorie des nombres de Bordeaux 2.1 (1990): 217-227. <http://eudml.org/doc/93512>.

@article{Pethö1990,
author = {Pethö, Attila, Zimmer, Horst G.},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {linear recurrence sequence; elliptic curve; Néron-Tate height; recurrence sequences on abelian groups},
language = {ger},
number = {1},
pages = {217-227},
publisher = {Université Bordeaux I},
title = {Lineare rekurrente Folgen auf elliptischen Kurven},
url = {http://eudml.org/doc/93512},
volume = {2},
year = {1990},
}

TY - JOUR
AU - Pethö, Attila
AU - Zimmer, Horst G.
TI - Lineare rekurrente Folgen auf elliptischen Kurven
JO - Journal de théorie des nombres de Bordeaux
PY - 1990
PB - Université Bordeaux I
VL - 2
IS - 1
SP - 217
EP - 227
LA - ger
KW - linear recurrence sequence; elliptic curve; Néron-Tate height; recurrence sequences on abelian groups
UR - http://eudml.org/doc/93512
ER -

References

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  1. [1] J.H. Evertse, K. Györy, C.L. Stewart, R. Tijdeman, "S-unit equations and their applications. In "New Advances in Transcendence Theory, Cambridge Univ. Press (1988), 110-174 Zbl0658.10023MR971998
  2. [2] J.W.S. Cassels, On a theorem of Dem'janenko. J. London Math. Soc.43 (1968), 61-66 Zbl0165.24104MR225783
  3. [3] S. Lang, Elliptic Curves: Diophantine Analysis, Springer-Verlag, Berlin-Heidelberg- New York (1978). Zbl0388.10001MR518817
  4. [4] S. Lang, Fundamentals of Diophantine Geometry, Springer-Verlag, Berlin-Heidelberg-New York (1983). Zbl0528.14013MR715605
  5. [5] K. Mahler, Eine arithmetische Eigenschaft der rekurrierenden Reihen, MathematicaB (Leiden) 3 (1934), 153-156. Zbl0010.39005JFM60.0919.05
  6. [6] A.J. van der POORTEN, H.P. Schlickewei, The growth condition for recurrence sequences. Macquarie Univ. Math. Report 82-0041, North Ryde, Australia, 1982 
  7. [7] T.N. Shorey, R. Tijdeman, Exponential Diophantine Equations, Cambridge University Press, Cambridge (1986). Zbl0606.10011MR891406
  8. [8] H.M. Tschöpe, H.G. Zimmer, Computation of the Néron-Tate height on elliptic curves, Math. Comp.48 (1987), 351-370. Zbl0611.14028MR866121
  9. [9] H.G. Zimmer, Über eine quadratische Form auf der Gruppe der rationalen Punkte einer elliptischen Kurve über einem Funktionenkörper, Dissertation, Tübingen (1966). 
  10. [10] H.G. Zimmer, Zur Arithmetik der elliptischen Kurven. Bericht Nr271 (1986) der Math.-Stat. Sektion der Forschungsges. Joanneum, Graz, Österreich Zbl0619.14021MR901951

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