The equation x+y=1 in finitely generated groups

F. Beukers; H. P. Schlickewei

Acta Arithmetica (1996)

  • Volume: 78, Issue: 2, page 189-199
  • ISSN: 0065-1036

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F. Beukers, and H. P. Schlickewei. "The equation x+y=1 in finitely generated groups." Acta Arithmetica 78.2 (1996): 189-199. <http://eudml.org/doc/206941>.

@article{F1996,
author = {F. Beukers, H. P. Schlickewei},
journal = {Acta Arithmetica},
keywords = {linear equations in finitely generated groups; -unit equations; binary recurrence sequence},
language = {eng},
number = {2},
pages = {189-199},
title = {The equation x+y=1 in finitely generated groups},
url = {http://eudml.org/doc/206941},
volume = {78},
year = {1996},
}

TY - JOUR
AU - F. Beukers
AU - H. P. Schlickewei
TI - The equation x+y=1 in finitely generated groups
JO - Acta Arithmetica
PY - 1996
VL - 78
IS - 2
SP - 189
EP - 199
LA - eng
KW - linear equations in finitely generated groups; -unit equations; binary recurrence sequence
UR - http://eudml.org/doc/206941
ER -

References

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  1. [1] F. Beukers and R. Tijdeman, On the multiplicities of binary complex recurrences, Compositio Math. 51 (1984), 193-213. Zbl0538.10014
  2. [2] F. Beukers and D. Zagier, Lower bounds for heights of points on hypersurfaces, Math. Z., to appear. 
  3. [3] J. H. Evertse, On equations in S-units and the Thue-Mahler equation, Invent. Math. 75 (1984), 561-584. Zbl0521.10015
  4. [4] H. P. Schlickewei, The multiplicity of binary recurrences, Invent. Math., to appear. Zbl0883.11008
  5. [5] H. P. Schlickewei, Equations ax+by=1, Ann. of Math., to appear. 
  6. [6] H. P. Schlickewei and W. M. Schmidt, Linear equations in variables which lie in a multiplicative group, to appear. Zbl1026.11038
  7. [7] H. P. Schlickewei and E. Wirsing, Lower bounds for the heights of solutions of linear equations, Invent. Math., to appear Zbl0883.11013

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