On the diophantine equation
Pietro Corvaja; Umberto Zannier
Acta Arithmetica (2000)
- Volume: 94, Issue: 1, page 25-40
- ISSN: 0065-1036
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topCorvaja, Pietro, and Zannier, Umberto. "On the diophantine equation $f(a^m,y)=b^n$." Acta Arithmetica 94.1 (2000): 25-40. <http://eudml.org/doc/207423>.
@article{Corvaja2000,
author = {Corvaja, Pietro, Zannier, Umberto},
journal = {Acta Arithmetica},
keywords = {exponential Diophantine equation; infinitely many solutions},
language = {eng},
number = {1},
pages = {25-40},
title = {On the diophantine equation $f(a^m,y)=b^n$},
url = {http://eudml.org/doc/207423},
volume = {94},
year = {2000},
}
TY - JOUR
AU - Corvaja, Pietro
AU - Zannier, Umberto
TI - On the diophantine equation $f(a^m,y)=b^n$
JO - Acta Arithmetica
PY - 2000
VL - 94
IS - 1
SP - 25
EP - 40
LA - eng
KW - exponential Diophantine equation; infinitely many solutions
UR - http://eudml.org/doc/207423
ER -
References
top- [CZ] P. Corvaja and U. Zannier, Diophantine equations with power sums and universal Hilbert sets, Indag. Math. 9 (1998), 317-332. Zbl0923.11103
- [La] S. Lang, Fundamentals of Diophantine Geometry, Springer, 1983. Zbl0528.14013
- [Lau] M. Laurent, Équations exponentielles-polynômes et suites récurrentes linéaires, II, J. Number Theory 31 (1989), 24-53. Zbl0661.10027
- W. M. Schmidt, Diophantine Approximations and Diophantine Equations, Lecture Notes in Math. 1467, Springer, 1991. Zbl0754.11020
- [Se] J.-P. Serre, Lie Algebras and Lie Groups, Lecture Notes in Math. 1500, Springer, 1991.
- [ST] T. N. Shorey and R. Tijdeman, Exponential Diophantine Equations, Cambridge Tracts in Math. 87, Cambridge Univ. Press, 1986.
Citations in EuDML Documents
top- Umberto Zannier, Polynomial squares of the form
- Pietro Corvaja, Umberto Zannier, On the greatest prime factor of Markov pairs
- Umberto Zannier, Diophantine equations with linear recurrences An overview of some recent progress
- Pietro Corvaja, Umberto Zannier, Finiteness of odd perfect powers with four nonzero binary digits
- Dominik J. Leitner, Two exponential diophantine equations
- Pietro Corvaja, Umberto Zannier, S-unit points on analytic hypersurfaces
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