Lattice points

complex number whose real and imaginary parts are both integers

an infinite array of discrete points in three dimensional space generated by a set of discrete translation operations

formula that the area of a planar polygon whose vertices all have integer coordinates equals the number of interior integer points plus half the number of boundary integer points minus one

fourier transform of real-space lattices, important in solid-state physics

subgroup of a real vector space

complex number whose mapping on a coordinate plane produces a triangular lattice

problem of counting integer points within a circle of given radius centered at the origin

closely-packed repeating pattern of points in 24-dimensional Euclidean space

cubic crystal structure of diamond and other substances

tessellation of n-dimensional Euclidean space by congruent parallelotopes

an equation that relates the Fourier series coefficients of the periodic summation of a function to values of the function's continuous Fourier transform

a polynomial whose values give the number of integer points in a scaled copy of a polytope

algorithm for finding a basis of short vectors in a lattice

type of lattice in a two-dimensional Euclidean space

theorem about circles having a given number of lattice points

lattice group in Euclidean space whose points are integer n-tuples

topic in discrete geometry

integral lattice of determinant 1 or −1

Summatory function of the divisor-counting function

lattice in 8-dimensional space with special properties