# Lower bounds of heights of points on hypersurfaces

Acta Arithmetica (1997)

- Volume: 79, Issue: 2, page 103-111
- ISSN: 0065-1036

## Access Full Article

top## How to cite

topFrits Beukers, and Don Zagier. "Lower bounds of heights of points on hypersurfaces." Acta Arithmetica 79.2 (1997): 103-111. <http://eudml.org/doc/206970>.

@article{FritsBeukers1997,

author = {Frits Beukers, Don Zagier},

journal = {Acta Arithmetica},

keywords = {Lower bounds of heights of points on hypersurfaces},

language = {eng},

number = {2},

pages = {103-111},

title = {Lower bounds of heights of points on hypersurfaces},

url = {http://eudml.org/doc/206970},

volume = {79},

year = {1997},

}

TY - JOUR

AU - Frits Beukers

AU - Don Zagier

TI - Lower bounds of heights of points on hypersurfaces

JO - Acta Arithmetica

PY - 1997

VL - 79

IS - 2

SP - 103

EP - 111

LA - eng

KW - Lower bounds of heights of points on hypersurfaces

UR - http://eudml.org/doc/206970

ER -

## References

top- [BS] F. Beukers and H. P. Schlickewei, The equation x+y=1 in finitely generated groups, Acta Arith. 78 (1996), 189-199. Zbl0880.11034
- [Le] D. H. Lehmer, Factorisation of certain cyclotomic functions, Ann. of Math. 34 (1933), 461-479. Zbl0007.19904
- [Lo] R. Louboutin, Sur la mesure de Mahler d'un nombre algébrique, C. R. Acad. Sci. Paris 296 (1983), 707-708. Zbl0557.12001
- [Sch1] H. P. Schlickewei, Equations ax+by=1, Ann. of Math., to appear.
- [SW] H. P. Schlickewei and E. Wirsing, Lower bounds for the heights of solutions of linear equations, Invent. Math., to appear. Zbl0883.11013
- [Schm] W. M. Schmidt, Heights of algebraic points lying on curves or hypersurfaces, Proc. Amer. Math. Soc., to appear. Zbl0867.11046
- [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. Zbl0235.12003
- [Za] D. Zagier, Algebraic numbers close to both 0 and 1, Math. Comp. 61 (1993), 485-491.
- [Zh] S. Zhang, Positive line bundles on arithmetic surfaces, Ann. of Math. 136 (1992), 569-587 Zbl0788.14017

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