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Integer points on curves and surfaces

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Abstract

Various upper bounds are given for the number of integer points on plane curves, on surfaces and hypersurfaces. We begin with a certain class of convex curves, we treat rather general surfaces in ℝ3 which include algebraic surfaces with the exception of cylinders, and we go on to hypersurfaces in ℝn with nonvanishing Gaussian curvature.

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Authors and Affiliations

  1. Department of Mathematics, University of Colorado, Campus Box 426, 80309, Boulder, CO, USA

    Wolfgang M. Schmidt

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  1. Wolfgang M. Schmidt
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Written with partial supports from NSF grant No. MCS-8211461.

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Schmidt, W.M. Integer points on curves and surfaces. Monatshefte für Mathematik 99, 45–72 (1985). https://doi.org/10.1007/BF01300739

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  • DOI: https://doi.org/10.1007/BF01300739

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