Integer points on curves and surfaces

DOI10.1007/BF01300739zbMath0551.10026MaRDI QIDQ801098

Wolfgang M. Schmidt

Publication date: 1985

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178214

zbMATH Keywords

surfaceupper boundcurvehypersurfacescubeconvex surfacesmethod of Swinnerton-Dyernumber of integer pointstheorem of Andrews

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice points in specified regions (11P21) Exponential Diophantine equations (11D61) Geometry of numbers (11H99)

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Cites Work

• The number of lattice points on a convex curve
• Über Gitterpunkte auf gewissen Flächen
• Indefinite Quadratic Forms in Many Variables (II)
• An Introduction to the Geometry of Numbers
• An Asymptotic Expression for the Number of Solutions of a General Class of Diophantine Equations
• The Distribution of Galois Groups and Hilbert's Irreducibility Theorem
• A Lower Bound for the Volume of Strictly Convex Bodies with many Boundary Lattice Points
• Rational approximations to algebraic numbers