# The set of solutions of a polynomial-exponential equation

Acta Arithmetica (1999)

- Volume: 87, Issue: 3, page 189-207
- ISSN: 0065-1036

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top## How to cite

topScott Ahlgren. "The set of solutions of a polynomial-exponential equation." Acta Arithmetica 87.3 (1999): 189-207. <http://eudml.org/doc/207215>.

@article{ScottAhlgren1999,

author = {Scott Ahlgren},

journal = {Acta Arithmetica},

keywords = {exponential diophantine equations},

language = {eng},

number = {3},

pages = {189-207},

title = {The set of solutions of a polynomial-exponential equation},

url = {http://eudml.org/doc/207215},

volume = {87},

year = {1999},

}

TY - JOUR

AU - Scott Ahlgren

TI - The set of solutions of a polynomial-exponential equation

JO - Acta Arithmetica

PY - 1999

VL - 87

IS - 3

SP - 189

EP - 207

LA - eng

KW - exponential diophantine equations

UR - http://eudml.org/doc/207215

ER -

## References

top- [1] J. W. S. Cassels, An Introduction to the Geometry of Numbers, Grundlehren Math. Wiss. 99, Springer, 1959. Zbl0086.26203
- [2] E. Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith. 34 (1979), 391-401. Zbl0416.12001
- [3] M. Laurent, Équations diophantiennes exponentielles, Invent. Math. 78 (1984), 299-327.
- [4] M. Laurent, Équations exponentielles-polynômes et suites récurrentes linéaires, II, J. Number Theory 31 (1989), 24-53. Zbl0661.10027
- [5] H. P. Schlickewei, Lower bounds for heights on finitely generated groups, Monatsh. Math. 123 (1997), 171-178. Zbl0973.11067
- [6] H. P. Schlickewei and W. M. Schmidt, On polynomial-exponential equations, Math. Ann. 296 (1993), 339-361. Zbl0805.11029
- [7] H. P. Schlickewei and W. M. Schmidt, The number of solutions of polynomial-exponential equations, Compositio Math., to appear. Zbl0949.11020

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