Geometry of the gauss map and lattice points in convex domains

DOI10.1112/S0025579300014376zbMath1041.52008MaRDI QIDQ4435531

Giancarlo Travaglini, Alexander Iosevich, A. N. Podkorytov, Leonardo Colzani, Luca Brandolini

Publication date: 16 November 2003

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

lattice pointsGauss mapplanar convex domains

Mathematics Subject Classification ID

Lattice points in specified regions (11P21) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Related Items

Lattice points in large convex planar domains of finite type, Mean lattice point discrepancy bounds. II: Convex domains in the plane, Lattice points in rotated convex domains

Cites Work

• Unnamed Item
• Ergodic theory on \(SL(n)\), diophantine approximations and anomalies in the lattice point problem
• Average decay of Fourier transforms and geometry of convex sets
• Estimates for the Fourier transform of the characteristic function of a convex set
• Über Integrale auf konvexen Körpern. I, II
• On the Number of Lattice Points in a Convex Set
• Nombre de points entiers dans une famille homothétique de domaines de ${R}$
• A Lattice-Point Problem. II
• Lattice points and generalized Diophantine conditions