The Geometry of Numbers is a branch of number theory that studies the properties of integers and rational numbers using geometric methods. This field primarily deals with the relationship between numerical values and geometric shapes, often through the lens of lattice points (points with integer coordinates) in Euclidean spaces. Key concepts and ideas within the Geometry of Numbers include: 1. **Lattices**: A lattice is a discrete subgroup of Euclidean space characterized by integer linear combinations of a basis of vectors.
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