Counting Lattice Points and O-Minimal Structures

By Fabrizio Barroero, Martin Widmer. 2012

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Let L be a lattice in R^n and Z a parameterized family of subsets Z_T of R^n. Using o-minimal structures we give an estimate for the number of points of L in Z_T for a quite general class of families Z. This is joint work with Martin Widmer.

Subfields: Computer Vision and Pattern Recognition, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/683cbe624249b68bc273ffb2f700eb2f8f37de75