List questions from integer-lattices

Published on 29 Mar 2026 - 12:52

152

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How many orthogonal pairs of shortest vectors in the Leech lattice?

Published on 09 Feb 2022 - 23:48

503

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The number of closed paths in the square lattice $\mathbb{Z}^2$ with length $n$ and starting and ending points at $(0,0)$.

Published on 26 Mar 2026 - 17:42

148

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Lattice embeddings in $\mathbb{Z}^n$

Published on 17 Feb 2022 - 22:15

68

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What is the degeneracy of the "Coxeter plane" for the E8 lattice?

Published on 26 Mar 2026 - 9:32

204

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Poisson summation formula for lattices not necessarily of full rank

Published on 23 Feb 2026 - 7:00

82

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Lattice paths of on $\mathbb{Z^d}$

Published on 03 Mar 2022 - 21:12

140

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Question about algebraic integers and roots of unit

Published on 06 Mar 2022 - 19:19

169

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Proof that any element of a free abelian group which is not divisible by any $k>1$ can be extended to a basis

Published on 27 Mar 2026 - 5:03

344

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How many lattices does it take to cover a regular $n$-gon?

Published on 27 Mar 2026 - 2:02

87

Views

how can you tell if two lattices are the same

Published on 26 Mar 2026 - 1:06

67

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Legendrian in the cosphere bundle

Published on 19 Mar 2022 - 2:23

34

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Where do the "classical lattices" come from?

Published on 25 Mar 2026 - 20:08

18

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Grow a shape in the Euclidean plane (or space) by adding unit boxes to the surface at random places. Do we get an almost-ball almost-certainly?

Published on 27 Mar 2022 - 3:05

107

Views

number of paths between opposite boundaries of a cube

Published on 27 Mar 2026 - 3:41

List Question

Why is the weight lattice a lattice?

How many orthogonal pairs of shortest vectors in the Leech lattice?

The number of closed paths in the square lattice $\mathbb{Z}^2$ with length $n$ and starting and ending points at $(0,0)$.

Lattice embeddings in $\mathbb{Z}^n$

What is the degeneracy of the "Coxeter plane" for the E8 lattice?

Poisson summation formula for lattices not necessarily of full rank

Lattice paths of on $\mathbb{Z^d}$

Question about algebraic integers and roots of unit

Proof that any element of a free abelian group which is not divisible by any $k>1$ can be extended to a basis

How many lattices does it take to cover a regular $n$-gon?

how can you tell if two lattices are the same

Legendrian in the cosphere bundle

Where do the "classical lattices" come from?

Grow a shape in the Euclidean plane (or space) by adding unit boxes to the surface at random places. Do we get an almost-ball almost-certainly?

number of paths between opposite boundaries of a cube

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