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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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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