Points entiers sur les courbes hyperelliptiques

Dimitrios Poulakis

Acta Arithmetica (1992)

  • Volume: 62, Issue: 1, page 25-43
  • ISSN: 0065-1036

How to cite

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Dimitrios Poulakis. "Points entiers sur les courbes hyperelliptiques." Acta Arithmetica 62.1 (1992): 25-43. <http://eudml.org/doc/206478>.

@article{DimitriosPoulakis1992,
author = {Dimitrios Poulakis},
journal = {Acta Arithmetica},
keywords = {explicit upper bounds; height of integer points; hyperelliptic curves},
language = {fre},
number = {1},
pages = {25-43},
title = {Points entiers sur les courbes hyperelliptiques},
url = {http://eudml.org/doc/206478},
volume = {62},
year = {1992},
}

TY - JOUR
AU - Dimitrios Poulakis
TI - Points entiers sur les courbes hyperelliptiques
JO - Acta Arithmetica
PY - 1992
VL - 62
IS - 1
SP - 25
EP - 43
LA - fre
KW - explicit upper bounds; height of integer points; hyperelliptic curves
UR - http://eudml.org/doc/206478
ER -

References

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  1. [1] A. Baker and J. Coates, Integer points on curves of genus 1, Proc. Cambridge Philos. Soc. 67 (1970), 595-602. Zbl0194.07601
  2. [2] J. Coates, Construction of rational functions on a curve, Proc. Cambridge Philos. Soc. 68 (1970), 105-123. Zbl0215.37302
  3. [3] D. Poulakis, Solutions entières de l’équation Y m = f ( X ) , Sém. Théorie des Nombres de Bordeaux 3 (1991), 187-199. 
  4. [4] W. M. Schmidt, Integer points on curves of genus 1, Compositio Math. 81 (1992), 33-59. Zbl0747.11026
  5. [5] W. M. Schmidt, Eisenstein's theorem on power series expansions of algebraic functions, Acta Arith. 56 (1990), 161-179. 
  6. [6] W. M. Schmidt, Construction and estimation of bases in function fields, J. Number Theory 39 (1991), 181-224. Zbl0764.11046
  7. [7] J. P. Serre, Lectures on the Mordell-Weil Theorem, Vieweg, 1989. Zbl0676.14005
  8. [8] C. L. Siegel, Über einige Anwendungen diophantischer Approximationen, Abh. Preuss. Akad. Wiss. 1 (1929). Zbl56.0180.05
  9. [9] R. Walker, Algebraic Curves, Springer, 1978. 

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