The number of integral points on arcs and ovals
E. Bombieri and J. Pila
Source: Duke Math. J. Volume 59, Number 2
(1989), 337-357.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077308005
Mathematical Reviews number (MathSciNet): MR1016893
Zentralblatt MATH identifier: 0718.11048
Digital Object Identifier: doi:10.1215/S0012-7094-89-05915-2
References
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Mathematical Reviews (MathSciNet): MR88g:11064
Zentralblatt MATH: 0618.10042
[2] S. D. Cohen, The distribution of Galois groups and Hilbert's irreducibility theorem, Proc. London Math. Soc. (3) 43 (1981), no. 2, 227–250.
Mathematical Reviews (MathSciNet): MR83b:12002
Zentralblatt MATH: 0484.12002
Digital Object Identifier: doi:10.1112/plms/s3-43.2.227
[3] D. Hilbert and A. Hurwitz, Über die diophantischen Gleichungen vom Geschlecht Null, Acta Mathematica 14 (1890-1891), 217–224.
[4] V. Jarnik, Über die Gitterpunkte auf konvexen Curven, Math. Z. 24 (1926), 500–518.
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[5] D. J. Lewis and K. Mahler, On the representation of integers by binary forms, Acta Arith. 6 (1961), 333–363.
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[6] C. Posse, Sur le terme complémentaire de la formule de M. Tchebychef donnant l'expression approchée d'une intégrale définie par d'autres prises entre les mêmes limites, Bull. Sci. Math. (2) 7 (1883), 214–224.
Zentralblatt MATH: 15.0237.01
[7] P. Sarnak, Torsion points on varieties and homology of Abelian covers, manuscript, 1988.
[8] W. M. Schmidt, Integer Points on Curves and Surfaces, Monatsh. Math. 99 (1985), no. 1, 45–72.
Mathematical Reviews (MathSciNet): MR86d:11081
Zentralblatt MATH: 0551.10026
Digital Object Identifier: doi:10.1007/BF01300739
[9] H. A. Schwarz, Verallgemeinerung eines analytischen Fundamentalsatzes, Annali di Mat. (2) 10 (1880), 129–136, rpt. Gesammelte Mathematische Abhandlungen, vol. 2, J. Springer, Berlin, 1890, pp. 296–302.
[10] H. P. F. Swinnerton-Dyer, The number of lattice points on a convex curve, J. Number Theory 6 (1974), 128–135.
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Zentralblatt MATH: 0285.10020
Digital Object Identifier: doi:10.1016/0022-314X(74)90051-1
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