@article{bwmeta1.element.bwnjournal-article-aav79i2p103bwm, author = {Frits Beukers and Don Zagier}, title = {Lower bounds of heights of points on hypersurfaces}, journal = {Acta Arithmetica}, volume = {80}, year = {1997}, pages = {103-111}, zbl = {0869.11054}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav79i2p103bwm} }
Frits Beukers; Don Zagier. Lower bounds of heights of points on hypersurfaces. Acta Arithmetica, Tome 80 (1997) pp. 103-111. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav79i2p103bwm/
[000] [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
[001] [Le] D. H. Lehmer, Factorisation of certain cyclotomic functions, Ann. of Math. 34 (1933), 461-479. | Zbl 0007.19904
[002] [Lo] R. Louboutin, Sur la mesure de Mahler d'un nombre algébrique, C. R. Acad. Sci. Paris 296 (1983), 707-708. | Zbl 0557.12001
[003] [Sch1] H. P. Schlickewei, Equations ax+by=1, Ann. of Math., to appear.
[004] [SW] H. P. Schlickewei and E. Wirsing, Lower bounds for the heights of solutions of linear equations, Invent. Math., to appear. | Zbl 0883.11013
[005] [Schm] W. M. Schmidt, Heights of algebraic points lying on curves or hypersurfaces, Proc. Amer. Math. Soc., to appear. | Zbl 0867.11046
[006] [Sm] C. J. Smyth, On the product of the conjugates outside the unit circle of an algebraic integer, Bull. London Math. Soc. 3 (1971), 169-175. | Zbl 0235.12003
[007] [Za] D. Zagier, Algebraic numbers close to both 0 and 1, Math. Comp. 61 (1993), 485-491.
[008] [Zh] S. Zhang, Positive line bundles on arithmetic surfaces, Ann. of Math. 136 (1992), 569-587 | Zbl 0788.14017