@article{bwmeta1.element.bwnjournal-article-aav79i4p361bwm, author = {E. Bombieri and J. Mueller and M. Poe}, title = {The unit equation and the cluster principle}, journal = {Acta Arithmetica}, volume = {80}, year = {1997}, pages = {361-389}, zbl = {0877.11018}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav79i4p361bwm} }
E. Bombieri; J. Mueller; M. Poe. The unit equation and the cluster principle. Acta Arithmetica, Tome 80 (1997) pp. 361-389. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav79i4p361bwm/
[000] [BW] A. Baker and G. Wüstholz, Logarithmic forms and group varieties, J. Reine Angew. Math. 442 (1993), 19-62. | Zbl 0788.11026
[001] [BS] F. Beukers and H. P. Schlickewei, The equation x+y=1 in finitely generated groups, Acta Arith. 78 (1996), 189-199. | Zbl 0880.11034
[002] [C1] J. W. S. Cassels, On a class of exponential equations, Ark. Mat. 3 (1960), 231-233.
[003] [C2] J. W. S. Cassels, An Introduction to the Geometry of Numbers, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1959.
[004] [D] E. Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith. 34 (1979), 391-401. | Zbl 0416.12001
[005] [EGST] J.-H. Evertse, K. Győry, C. L. Stewart and R. Tijdeman, On S -unit equations in two unknowns, Invent. Math. 92 (1988), 461-477. | Zbl 0662.10012
[006] [G] K. Győry, On the number of solutions of linear equations in units of an algebraic number field, Comment. Math. Helv. 54 (1979), 583-600. | Zbl 0437.12004
[007] [MKS] W. Magnus, A. Karrass and D. Solitar, Combinatorial Group Theory, 2nd ed., revised, Dover, New York, 1976.
[008] [P] M. Poe, On distribution of solutions of S-unit equations, J. Number Theory 62 (1997), 221-241. | Zbl 0879.11015
[009] [R] P. Ribenboim, Catalan's Conjecture, Academic Press, Boston, 1994. | Zbl 0824.11010
[010] [S] C. L. Siegel, Abschätzung von Einheiten, Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. 9 (1969), 71-86. | Zbl 0186.36703
[011] [V] J. D. Vaaler, A geometric inequality with applications to linear forms, Pacific J. Math. 83 (1979), 543-553. | Zbl 0465.52011