# The equation x+y=1 in finitely generated groups

Acta Arithmetica (1996)

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

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topF. 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

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