@article{bwmeta1.element.bwnjournal-article-aav80i4p367bwm,
author = {J.-H. Evertse and K. Gy\H ory},
title = {The number of families of solutions of decomposable form equations},
journal = {Acta Arithmetica},
volume = {80},
year = {1997},
pages = {367-394},
zbl = {0886.11015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav80i4p367bwm}
}
J.-H. Evertse; K. Győry. The number of families of solutions of decomposable form equations. Acta Arithmetica, Tome 80 (1997) pp. 367-394. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav80i4p367bwm/
[000] [1] Z. I. Borevich and I. R. Shafarevich, Number Theory, Academic Press, New York, 1967.
[001] [2] G. R. Everest, On the solution of the norm form equation, Amer. J. Math. 114 (1992), 667-681; Addendum, Amer. J. Math., 787-788. | Zbl 0755.11012
[002] [3] G. R. Everest and K. Győry, Counting solutions of decomposable form equations, Acta Arith. 79 (1997), 173-191. | Zbl 0883.11015
[003] [4] J.-H. Evertse, The number of solutions of decomposable form equations, Invent. Math. 122 (1995), 559-601. | Zbl 0851.11019
[004] [5] K. Győry, On the numbers of families of solutions of systems of decomposable form equations, Publ. Math. Debrecen 42 (1993), 65-101. | Zbl 0792.11004
[005] [6] K. Győry und A. Pethő, Über die Verteilung der Lösungen von Normformen Gleichungen II, Acta Arith. 32 (1977), 349-363. | Zbl 0314.12015
[006] [7] K. Győry und A. Pethő, Über die Verteilung der Lösungen von Normformen Gleichungen III, Acta Arith. 37 (1980), 143-165. | Zbl 0387.10010
[007] [8] S. Lang, Fundamentals of Diophantine Geometry, Springer, Berlin, 1983. | Zbl 0528.14013
[008] [9] M. Laurent, Equations diophantiennes exponentielles, Invent. Math. 78 (1984), 299-327.
[009] [10] D. G. Northcott, An inequality in the theory of arithmetic on algebraic varieties, Proc. Cambridge Philos. Soc. 45 (1949), 502-509. | Zbl 0035.30701
[010] [11] D. G. Northcott, A further inequality in the theory of arithmetic on algebraic varieties, Proc. Cambridge Philos. Soc., 510-518. | Zbl 0035.30701
[011] [12] A. Pethő, Über die Verteilung der Lösungen von S-Normformen Gleichungen, Publ. Math. Debrecen 29 (1982), 1-17.
[012] [13] H. P. Schlickewei, On norm form equations, J. Number Theory 9 (1977), 370-380. | Zbl 0365.10016
[013] [14] H. P. Schlickewei, S-unit equations over number fields, Invent. Math. 102 (1990), 95-107. | Zbl 0711.11017
[014] [15] W. M. Schmidt, Linearformen mit algebraischen Koeffizienten II, Math. Ann. 191 (1971), 1-20. | Zbl 0198.07103
[015] [16] W. M. Schmidt, Norm form equations, Ann. of Math. 96 (1972), 525-551. | Zbl 0226.10024
[016] [17] W. M. Schmidt, The number of solutions of norm form equations, Trans. Amer. Math. Soc. 317 (1990), 197-227. | Zbl 0693.10014
[017] [18] P. M. Voutier, Effective and quantitative results on integral solutions of certain classes of Diophantine equations, Ph.D. Thesis, University of Colorado at Boulder, 1993.